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NationalTutoringObservatory
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MathEd-PII

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8
volunteer
And yeah, those two numbers, it's equal to 0, right?
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student
Yeah, 084
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volunteer
And then everything in between those is less than 0, right?
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student
0 and 4
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volunteer
Yeah, everything
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student
Oh, cause it's negative
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volunteer
less, yeah, because it's negative, so it'd be less than 0, right?
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student
Yeah
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volunteer
And so, if it, if we're including 0 and 4,
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volunteer
and it's everything in between there.
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volunteer
We would use the double brackets, right?
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student
OK.
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volunteer
[
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volunteer
The bracket is this, I'm gonna send it in chat.
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volunteer
Like that's a bracket
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volunteer
[]
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student
Oh, are we thinking the double brackets because of the equal to?
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volunteer
Yeah
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volunteer
because it's equal there at 0 and 4.
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student
I you.
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student
over
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volunteer
So it would be from, from what number to what number? Is it less than or equal to before. 0 to 4, right?
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volunteer
Good.
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student
Yeah
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student
So we just put that
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volunteer
Yeah
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volunteer
That makes sense, right
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student
Oh
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volunteer
So do you know the roots here?
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student
If it's getting too late, you can let me know.
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volunteer
I, I know. I'll be fine. I stay up late.
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student
So.
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student
so.
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volunteer
So 2 times what the 40?
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volunteer
0, right
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volunteer
If you're talking, I can't hear you
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student
Oh
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volunteer
Hello hello.
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volunteer
Yeah, I can hear you
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student
OK, so 0. So this will be, we're trying to get 3, so.
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student
I mean, yeah, I
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volunteer
Yup, 3. So 0 and 3, right? Are they the only two roots?
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student
Why is it cubed and quadrupled.
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student
Yeah
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volunteer
Those are multiplicities, but the roots would still be the same. It just means that it equals 0 multiple times on those numbers.
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volunteer
So we're doing less than
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volunteer
0, right
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student
Yes
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student
I guess
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volunteer
So -1
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student
negative once the 4th power.
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student
is -1
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volunteer
-1 to the 4th power
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student
No, it's 1
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student
It.
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student
positive
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volunteer
Yes, it's 1, good. So that'd be positive and then we plug in the corner to the other one would be
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student
Would this matter, the 3?
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volunteer
yep.
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student
OK, so,
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volunteer
because it'd be -8 cubed, right? And that would still end up being negative, right? Because 8 times 8 times -8 would still be negative, right? Because negative, negative, negative.
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student
oh
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student
the time, oh.
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volunteer
So if we do less than 0, that would be a positive number times a negative number.
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volunteer
Does that make sense
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student
So good
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volunteer
So negative
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student
OK.
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volunteer
OK. And then for the middle ones, we are plugging in a number between 0 and 3.
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volunteer
So let's do 1
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volunteer
It would be
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student
OK
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volunteer
positive, right
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volunteer
And then
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student
OK.
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volunteer
2 minus 6 is what, -4, and then 4 cubed is negative or positive.
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student
negative, right
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volunteer
Yeah, and so it would be a positive times a negative, which would be
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volunteer
good. And then if it's greater than 3
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volunteer
what would it be?
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student
This one also.
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volunteer
Positive
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volunteer
Good
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student
and this will be positive signs are positive, positive, so positive.
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volunteer
Uh-huh
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student
Oh, in Boston.
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[ { "pii_type": "LOCATION", "surrogate": "Boston", "start": 7, "end": 13 } ]
student
I don't not know how to write Invernotations.
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volunteer
Well, let's submit this one first.
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student
How do we do this
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volunteer
Uh, and what was asking
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student
Inver notation
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volunteer
In
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student
Ah interval notations.
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volunteer
interval not. OK. Yeah, so.
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student
The one who didn't make the one was
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volunteer
so it's asking what is it less than 0, right, less than or equal to?
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student
Yeah
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volunteer
So when does it become
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volunteer
more than 0
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student
This one right here
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