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( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position .
there 's not any reason for the integral sign on violins , is there ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position .
why do violins sound higher than cellos ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
this is a board where we put our fingers so it 's called a finger board . and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions .
is it important to put a hanker cheif in your chin rest ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
that 's me , i feel that when i see it coming up , i usually circle the place it says solo , my solo , in red pencil . so we turn the page in the middle of the piece , and i can see it coming up , i can just feel my heart rate start to go faster , and faster . and , i basically say three words to myself , `` go for it ...
is n't the person on the inside of the orchestra supposed to turn the page ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
i actually show it to my audience . ( playing sliding violin notes ) and so the slide is a very personal thing that violinists can use to bring the music to life . ( orchestra playing slowly ) concert master is basically the quarterback of the team .
how often should a violinist use a rosin ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
it 's amazing that it 's so old , and yet it 's in really good condition , real healthy , and these things are all modern things that we put on here . this is called a tail piece that kind of holds the strings in place . this is , well , it looks like a bridge , and that 's what we call it , it 's a bridge .
how many notes are in all the strings all together ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll .
what 's the difference between a principal and a concertmaster ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
it 's amazing that it 's so old , and yet it 's in really good condition , real healthy , and these things are all modern things that we put on here . this is called a tail piece that kind of holds the strings in place . this is , well , it looks like a bridge , and that 's what we call it , it 's a bridge .
how do you memorize what strings are what ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
why is the 1st violinist called a `` concertmaster '' and not just `` 1st violin '' or `` principal violinist '' ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
how many violin sizes are there ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
what is violin in spanish ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
how many strings does a violin have ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
now , sometimes , going from the first to the third floor , i want to be very clean . ( violin sounds ) but sometimes , i want to give it a little style , and a little bit of something a little spicy , then i might do what 's called a slide , in which case , i do n't hide anything that 's going on as my elevator is goi...
if you do n't wipe the rosin off your instrument what will happen ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then i have second position , third position , fourth position , fifth , sixth , seventh , i go up to about eighth position or so . now , when i go from one position to the next , i like to think of it like i 'm taking an elevator to a different floor . like in first position , i 'm going to the third position , i ...
i 've always wondered : how does a composer indicate something like a slide ( ) or vibrato with notation ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
it 's amazing that it 's so old , and yet it 's in really good condition , real healthy , and these things are all modern things that we put on here . this is called a tail piece that kind of holds the strings in place . this is , well , it looks like a bridge , and that 's what we call it , it 's a bridge .
violins do n't have frets , then how do violinists know the exact place to place their right hand fingers ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position .
why are there so many violins in an orchestra ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position .
i thought the piano was the most important intsrument in an orchestra , by any chances , are the violins most important ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
is violin the most popular instrument throughout the world because the concertmaster of an orchestra is a violinist ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
what is it called when the violinist rubs the string on the violin rapidly ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position .
are the different positions considered to be different octaves ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
why is the violin smaller than the viola ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same trees you might see in your back yard , spruce , and maple , this one was made in 1...
are older instruments favored about ones that are made more recently ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll .
is there any superiority between either ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
will the violin ( wood ) crack if place in a very dry place ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
( orchestra playing slowly ) concert master is basically the quarterback of the team . the head coach is the same thing as the conductor . they really control everything that 's going on .
what is the significance of the musicians ' seating arrangement meaning do the best players sit closer to the conductor and for what reason ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
i actually show it to my audience . ( playing sliding violin notes ) and so the slide is a very personal thing that violinists can use to bring the music to life . ( orchestra playing slowly ) concert master is basically the quarterback of the team .
what is the name of the symphony music being played ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
how can a violin that 's so old be in such good condition ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position .
does the violin have different chords from piano or are they the same ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
it 's amazing that it 's so old , and yet it 's in really good condition , real healthy , and these things are all modern things that we put on here . this is called a tail piece that kind of holds the strings in place . this is , well , it looks like a bridge , and that 's what we call it , it 's a bridge .
what is the piece of music starting at around the 2.33 mark ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
is violin the toughest instrument to be learnt where one in a 1000 excels in violin ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position . and then i have second position , third position , fourth position , fifth , sixth , seventh , i go up to about eighth position or so . now , when i go from one position to the next , i like to think of...
question , though- does the resonance from each string depend on the position of the shoulder ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
what 's the importance of the soul of the violin ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and then at that moment when i start playing , i 'm almost screaming it out , i 'm screaming it out in my head , go for it ! ( melodious violin solo )
why is the bow made together with a violin is different in length with a bow for the same size violin tend to be longer or shorter ?
( violins tuning ) - if you look at a violin it 's very much like a human body . it has shoulders , and we call this the neck , and this is , it 's not the head , but we call it the scroll , it 's like a rolled piece of paper scroll . and these are the ribs , and the back , and a violin is made from kind of the same tr...
and this is where i rest my chin , so we call it a chin rest . ( violins playing ) in violin we have different positions . the one that 's furthest away from me is first position .
how do the musicians flip the page when they are playing with both hands ?
( piano music ) steven : we 're in the church of san zaccaria in venice , and we 're looking at one of giovanni bellini 's last altar paintings . beth : this is the san zaccaria altarpiece . it 's a sacra conversazione , which is something that we see a lot of in venice . a group of saints from different time periods a...
beth : the place that bellini would have been most familiar with , that exemplified that tradition , is the church of saint mark 's here in venice , that is covered with golden mosaics , very much like the one we see in the apse here . steven : and yet there 's also a classical and also biblical set of references . if ...
would using oil instead of tempra also have helped ?
( piano music ) steven : we 're in the church of san zaccaria in venice , and we 're looking at one of giovanni bellini 's last altar paintings . beth : this is the san zaccaria altarpiece . it 's a sacra conversazione , which is something that we see a lot of in venice . a group of saints from different time periods a...
the physical stone , because we can see , for instance , arches moving towards us on the upper left and upper right that frame the landscape , that we seem to be able to walk out , but we do n't know how much of the original frame remains . this painting was taken to paris by napoleon . it was stolen .
is the painting at present on canvas or panel ?
( piano music ) steven : we 're in the church of san zaccaria in venice , and we 're looking at one of giovanni bellini 's last altar paintings . beth : this is the san zaccaria altarpiece . it 's a sacra conversazione , which is something that we see a lot of in venice . a group of saints from different time periods a...
( piano music ) steven : we 're in the church of san zaccaria in venice , and we 're looking at one of giovanni bellini 's last altar paintings . beth : this is the san zaccaria altarpiece .
what is the giovanni bellini means ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
how is absolute value used in the world ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
well , you have everything all the way up to -- 7 and 1/2 is exactly 7 and 1/2 away , so you ca n't count that , so 7 and 1/2 , you 'll put a circle around it . same thing true for negative 7 and 1/2 , the absolute value , it 's exactly 7 and 1/2 away . we have to be less than 7 and 1/2 away , so neither of those point...
what exactly is a solution set ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so if this is the number line right there , that is 0 , and we draw some points , let 's say that this is 7 , that is 8 , that is negative 7 , that is negative 8 . what numbers are less than 7 and 1/2 away from 0 ? well , you have everything all the way up to -- 7 and 1/2 is exactly 7 and 1/2 away , so you ca n't count...
in equations , we can shift the numbers/variables from one side to another but , in inequalities can we shift the numbers/variables from one side to another ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so h could be less than 7 and 1/2 . but if it gets too far negative , if it goes to negative 3 , we 're cool , negative 4 , negative 5 , negative 6 , negative 7 , we 're still cool , but then at negative 8 , all of a sudden the absolute value is n't going to be less than this . so it also has to be greater than negativ...
how do you solve a problem with a negative variable in the absolute value bars ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
it 's an inequality , not an equation , it 's an inequality sign , not an equal sign . so plus 19 and 1/2 . on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than .
when sal adds 19 1/2 to - 12 how come he does not have to make the denominator on -12 equal to 19 1/2 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than . and then if we have 19 and 1/2 , essentially minus 12 , 19 minus 12 is 7 , so it 's going to be 7 and 1/2 . so now we have that the absolute value of h i...
is n't -12 the same thing as -12/1 so if we are adding/subtracting fractions dont the denominators have to be equal ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
how do i solve absolute value equations with absolute value bars on both sides ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
did i just say equation ? it 's an inequality , not an equation , it 's an inequality sign , not an equal sign . so plus 19 and 1/2 .
is the sign supposed to flip ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
well , you have everything all the way up to -- 7 and 1/2 is exactly 7 and 1/2 away , so you ca n't count that , so 7 and 1/2 , you 'll put a circle around it . same thing true for negative 7 and 1/2 , the absolute value , it 's exactly 7 and 1/2 away . we have to be less than 7 and 1/2 away , so neither of those point...
but how can the distance be less than -7 1/2 when it becomes a negative ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
and then if we have 19 and 1/2 , essentially minus 12 , 19 minus 12 is 7 , so it 's going to be 7 and 1/2 . so now we have that the absolute value of h is less than 7 and 1/2 . so what does this tell us ?
how would you solve an absolute value expressions such as |x-3| is less than or equal to 4 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
it 's an inequality , not an equation , it 's an inequality sign , not an equal sign . so plus 19 and 1/2 . on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than .
how would you graph x > -2 or x < 2 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
it 's an inequality , not an equation , it 's an inequality sign , not an equal sign . so plus 19 and 1/2 . on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than .
would that b the same as -2 < x < 2 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
it 's an inequality , not an equation , it 's an inequality sign , not an equal sign . so plus 19 and 1/2 . on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than .
if there is a question 2-|1+x|=y , do you subtract or divide the 2 on both sides ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
what if you had absolute values on both sides of the inequality ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so let me put it this way . so h could be less than 7 and 1/2 . but if it gets too far negative , if it goes to negative 3 , we 're cool , negative 4 , negative 5 , negative 6 , negative 7 , we 're still cool , but then at negative 8 , all of a sudden the absolute value is n't going to be less than this .
why do we not solve for -12 and +12 ... which would give a range of h < 7 1/2 & h > 31 1/2 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so let me put it this way . so h could be less than 7 and 1/2 . but if it gets too far negative , if it goes to negative 3 , we 're cool , negative 4 , negative 5 , negative 6 , negative 7 , we 're still cool , but then at negative 8 , all of a sudden the absolute value is n't going to be less than this .
around ... in prior problems we constructed another inequality loike |h| - 19.5 > 12 n ( which would suggest that h > 31.5 ... why do n't we use this process in this case and instead we stop at h < 7.5 and deduce that is has to be > -7.5 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so h could be less than 7 and 1/2 . but if it gets too far negative , if it goes to negative 3 , we 're cool , negative 4 , negative 5 , negative 6 , negative 7 , we 're still cool , but then at negative 8 , all of a sudden the absolute value is n't going to be less than this . so it also has to be greater than negativ...
if the absolute value have negative terms inside , do you change terms inside to positive or leave the inequality as is ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
how do i solve an absolute value inequality with two variables ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so h could be less than 7 and 1/2 . but if it gets too far negative , if it goes to negative 3 , we 're cool , negative 4 , negative 5 , negative 6 , negative 7 , we 're still cool , but then at negative 8 , all of a sudden the absolute value is n't going to be less than this . so it also has to be greater than negativ...
i thought a inequality wth a negative answer does not have a solution because absolute values have to be a non negative number ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than . and then if we have 19 and 1/2 , essentially minus 12 , 19 minus 12 is 7 , so it 's going to be 7 and 1/2 . so now we have that the absolute value of h i...
so why is it that ihi - 19.5 < -12 is a valid inequality with solutions if -12 is a negative number ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so plus 19 and 1/2 . on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than . and then if we have 19 and 1/2 , essentially minus 12 , 19 minus 12 is 7 , so it 's going to be 7 and 1/2 .
what about when the left hand side of the inequality is a negative number ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
how do we solve the inequalities when on both sides of the inequality is an absolute value ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
i often like putting that as an improper fraction , but 1/2 is pretty easy to deal with , so let 's add 19 and 1/2 to both sides of this inequality . did i just say equation ? it 's an inequality , not an equation , it 's an inequality sign , not an equal sign . so plus 19 and 1/2 .
the equation : what is the solution set of the inequality ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so let me put it this way . so h could be less than 7 and 1/2 . but if it gets too far negative , if it goes to negative 3 , we 're cool , negative 4 , negative 5 , negative 6 , negative 7 , we 're still cool , but then at negative 8 , all of a sudden the absolute value is n't going to be less than this . so it also ha...
5-|x+4| < _ -3 ( < _ is less than or equal to ) -|x+4| < _ -8 could you , in the step above , remove the negatives on both sides of the inequality ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
did i just say equation ? it 's an inequality , not an equation , it 's an inequality sign , not an equal sign . so plus 19 and 1/2 .
i thought you were supposed to change the inequality sign when changing the value to a positive , or what does that apply for ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
on the left-hand side , these guys obviously cancel out , that was the whole point , and we are left with the absolute value of h on the left-hand side is less than . and then if we have 19 and 1/2 , essentially minus 12 , 19 minus 12 is 7 , so it 's going to be 7 and 1/2 . so now we have that the absolute value of h i...
is it right 12 - 19*1/2 = 7*1/2 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
well , you have everything all the way up to -- 7 and 1/2 is exactly 7 and 1/2 away , so you ca n't count that , so 7 and 1/2 , you 'll put a circle around it . same thing true for negative 7 and 1/2 , the absolute value , it 's exactly 7 and 1/2 away . we have to be less than 7 and 1/2 away , so neither of those point...
|x-4/x+2| is greater than or equal to 2. can the denominator be positive and negative or is it only positive ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
well , you have everything all the way up to -- 7 and 1/2 is exactly 7 and 1/2 away , so you ca n't count that , so 7 and 1/2 , you 'll put a circle around it . same thing true for negative 7 and 1/2 , the absolute value , it 's exactly 7 and 1/2 away . we have to be less than 7 and 1/2 away , so neither of those point...
i 'm having a hard time solving this inequality ... | ( 1/2 ) x-1|+ ( 3/2 ) x < 10 i know to isolate the absolute value on one side of the inequality , but what do i do with the ( 3/2 ) x ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
i often like putting that as an improper fraction , but 1/2 is pretty easy to deal with , so let 's add 19 and 1/2 to both sides of this inequality . did i just say equation ? it 's an inequality , not an equation , it 's an inequality sign , not an equal sign .
how do we answer an inequalitie when there is an x on both sides of an equation ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so h could be less than 7 and 1/2 . but if it gets too far negative , if it goes to negative 3 , we 're cool , negative 4 , negative 5 , negative 6 , negative 7 , we 're still cool , but then at negative 8 , all of a sudden the absolute value is n't going to be less than this . so it also has to be greater than negativ...
why do you have to flip the inequality sign when the constant is negative ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here .
why is infinite warfare so bad ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
i often like putting that as an improper fraction , but 1/2 is pretty easy to deal with , so let 's add 19 and 1/2 to both sides of this inequality . did i just say equation ? it 's an inequality , not an equation , it 's an inequality sign , not an equal sign .
how do i go from a inequality equation to a linear form equation ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so if this is the number line right there , that is 0 , and we draw some points , let 's say that this is 7 , that is 8 , that is negative 7 , that is negative 8 . what numbers are less than 7 and 1/2 away from 0 ? well , you have everything all the way up to -- 7 and 1/2 is exactly 7 and 1/2 away , so you ca n't count...
and i dont get how -8 is greater than 7 1/2 ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
so now we have that the absolute value of h is less than 7 and 1/2 . so what does this tell us ? this means that the distance , another way to interpret this -- remember , absolute value is the same thing as distance from 0 -- so another way to interpret this statement is that the distance from h to 0 has to be less th...
can ny1 tell me why the solution set of |4-5x| > 4 is ( -infinity,0 ) u ( 8/5 , infinity ) ?
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here . so the way we 're going to do it , we 're going to solve this inequality in terms of the absolute value of h , and from there we can solve it for h. so let 's...
we 're told to graph all possible values for h on the number line . and this is a especially interesting inequality because we also have an absolute value here .
how are you supposed to know what way to graph the line ?
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
and another way that concentrations of hormones in the body are controlled are through feedback loops . and the majority of feedback loops are what we consider to be negative feedback loops . and the idea behind negative feedback loops is that conditions resulting from the hormone action suppress further releases of th...
is the double negative feedback of both the pituitary and the hypothalamus a safety factor ?
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
and it goes down to the pituitary gland , which i 'll drawn in , in right here . and in response to trh , the pituitary gland releases thyroid-stimulating hormone or tsh . and tsh goes down to the thyroid glands , which would be about right here .
how does the hypothalamus and pituitary gland turn back `` on '' and begin to release trh and tsh again ?
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
and i 'll write it down . and the hypothalamus releases a hormone , thyroid-releasing hormone -- so trh . and it releases it .
how does a receptor sense an absence of hormone in the blood ?
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
and i 'll write it down . and the hypothalamus releases a hormone , thyroid-releasing hormone -- so trh . and it releases it .
does the hormone concentration of pregnant women affect the cell growth/metabolism and birth weight of their baby ?
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
because some of the receptors are located on the pituitary gland and the hypothalamus . and as the thyroid hormones reach the pituitary and the hypothalamus , they signal the hypothalamus and pituitary gland to stop making their hormones . and the hypothalamus and pituitary gland see that we have enough thyroid hormone...
for negative feedback is the hormone binding to the hypothalamus and pituitary gland to stop production ?
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
what are some examples postive feedbacks in endocrine system ?
when we talk about the endocrine organs and the endocrine glands and we talk about hormones flying all throughout the body , it 's pretty easy to develop this mental image of that process happening pretty haphazardly . and so you can imagine hormones just coursing all throughout the body , being fired at will and to ev...
and another way that concentrations of hormones in the body are controlled are through feedback loops . and the majority of feedback loops are what we consider to be negative feedback loops . and the idea behind negative feedback loops is that conditions resulting from the hormone action suppress further releases of th...
in regards to negative feedback , does triiodothyronine ( t3 ) only work on the pituitary and thyroxine ( t4 ) only work on the hypothalamus ?
one popular way to treat depression is with antidepressants , and these are drugs that help to relieve the symptoms of depression . but before i talk about them , i want to quickly go over neurotransmission . so here we have a neuron , and neurons receive messages through their dendrites , which are these branching st...
one popular way to treat depression is with antidepressants , and these are drugs that help to relieve the symptoms of depression . but before i talk about them , i want to quickly go over neurotransmission .
can you tell me more about the use of ketamine in treatment of depression ?
one popular way to treat depression is with antidepressants , and these are drugs that help to relieve the symptoms of depression . but before i talk about them , i want to quickly go over neurotransmission . so here we have a neuron , and neurons receive messages through their dendrites , which are these branching st...
one blocks reuptake of norepinephrine and dopamine , and the other triggers additional release of norepinephrine and dopamine , but both result in an increase of these neurotransmitters in the synapse . both of these drugs are really promising . i 'm sure that they 'll only increase in popularity as time goes on , but ...
why ssri drugs need more than 3 weeks inorder to start to be effective ?
one popular way to treat depression is with antidepressants , and these are drugs that help to relieve the symptoms of depression . but before i talk about them , i want to quickly go over neurotransmission . so here we have a neuron , and neurons receive messages through their dendrites , which are these branching st...
while these are not life-threatening , these side effects could have a negative impact on a person 's quality of life . there is one exception to this life-threatening clause though , and that 's a condition called serotonin syndrome . this rarely occurs for people who are taking ssris on their own , but it can become ...
what does serotonin syndrome do and what effects does it have ?
one popular way to treat depression is with antidepressants , and these are drugs that help to relieve the symptoms of depression . but before i talk about them , i want to quickly go over neurotransmission . so here we have a neuron , and neurons receive messages through their dendrites , which are these branching st...
but like the other antidepressants , they are n't side effect free , because they also work everywhere in our brain and our body . so there are some side effects , and these can include sleeping problems , weight gain , and sexual dysfunctions . while these are not life-threatening , these side effects could have a neg...
why do you not include suicide and homocide as side effects per the black box warnings on ssris ?
one popular way to treat depression is with antidepressants , and these are drugs that help to relieve the symptoms of depression . but before i talk about them , i want to quickly go over neurotransmission . so here we have a neuron , and neurons receive messages through their dendrites , which are these branching st...
more neurotransmitters in the synapse increases the likelihood that they will dock onto the postsynaptic cell and cause an action potential . the next type of antidepressants are tricyclic antidepressants . instead of being named for what they do , these drugs are named for how they look .
how come i 've heard that some antidepressants can cause people to become suicidal ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
we look at what type of lens it is . this lens is a diverging lens . diverging lenses always get contributed , always have a negative focal length that they contribute into this equation .
at sec , why do you decide to use the lens on the left as the `` first lens '' and not the second one on the right ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
we look at what type of lens it is . this lens is a diverging lens . diverging lenses always get contributed , always have a negative focal length that they contribute into this equation .
if a diverging lens is placed in front of a converging lens and the image that the diverging lens creates is on the left of the diverging lens , do we just treat that as a very big do and pretend the first diverging lens is not there ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
that means at this point over here , i 'll make it white because that 's where i labeled this image distance . i 'm going to get an image that 's 2/5 as big as what ? as the 1st image .
so did the eye see the 2/5 image ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
well let 's do that one . magnification equals negative di over do so negative of my image distance for this 2nd lens was , it was negative 6 remember right here ? that 's what we solved .
if we had the first image formed after the second lense , so in other words the object would be negative , how could we continue from there in terms of formula ( f and di ) ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
15 centimeters will be where the `` object '' for this 2nd lens is going to be . so as we turn this positive 18 into object distance of positive 15 centimeters . why positive ?
why the object distance is positive ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
we look at what type of lens it is . this lens is a diverging lens . diverging lenses always get contributed , always have a negative focal length that they contribute into this equation .
what if the image created by the first lens ends up being located behind the location of the concave lens ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
in other words , if this 1st lens created an image that was closer to our eye than the 2nd lens was , well that 's just all messed up . that 's going to be a negative object distance . your not supposed to hold an object between your eye and the lens .
what is a case where object distance would be negative ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
that 's what we solved . the 2nd lens created an image distance negative 6 . i 'll leave off the units because they cancel and my object distance for the 2nd lens was 15 centimeters .
what happen if the first lens created a virtual image ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
so what does this mean ? negative 6 centimeters . this is always from the lens and negative . remember negative distance means on the left hand side or the opposite side as your eye .
is not f always negative for convex lens ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
we 'll have for this lens it 's going to be 1 over . alright , focal length . what do we look at for focal length ?
what will happen if we cut a lens in half along the principal axis and put them side by side touching each other such that their principal axis is same , what will be new focal length ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
i can tell by the way it 's drawn . since this is a convex lens my focal length is going to be positive 12 centimeters . so that 's what i plug in , positive 12 centimeters equals , alright , object distance so 1 over the object distance that 's 24 right ?
on multiple lens system video , why the focal length positive for convex and negative for concave , is n't it supposed to bethe other way round ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
in other words , if this 1st lens created an image that was closer to our eye than the 2nd lens was , well that 's just all messed up . that 's going to be a negative object distance . your not supposed to hold an object between your eye and the lens .
shouldnt object distance for 2nd mirror be negative ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
so what does this mean ? negative 6 centimeters . this is always from the lens and negative . remember negative distance means on the left hand side or the opposite side as your eye .
all distances r measured from optical centers and object distance of a concave lens is always negative right ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
so as we turn this positive 18 into object distance of positive 15 centimeters . why positive ? well it 's still on this left hand side opposite side as your eye .
when m2 equal to a positive value..we should draw the image on the diverging lens not inverted but why is it drawn inverted when the answer is a positive value ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
we look at what type of lens it is . this lens is a diverging lens . diverging lenses always get contributed , always have a negative focal length that they contribute into this equation .
how is a concave lens forming a real and inverted image ?
if i had been handed this problem on a physics test i probably would have freaked out . this looks really intimidating but it 's actually not that bad . it 's a classic example of a two lens system and overall , before we get lost in details here . the overall idea of how we 're going to approach is this . we 've got ...
in other words , if this 1st lens created an image that was closer to our eye than the 2nd lens was , well that 's just all messed up . that 's going to be a negative object distance . your not supposed to hold an object between your eye and the lens .
do we ever get negative object distance in reality ?