Update solver_absolute_value.py

solver_absolute_value.py

@@ -7,13 +7,15 @@ from models import SolverResult
 
 
 def solve_absolute_value(text: str) -> Optional[SolverResult]:
-    lower = (text or "").lower()
+    raw = text or ""
+    lower = raw.lower()
+    compact = lower.replace(" ", "")
 
-    if "|" not in text and "absolute value" not in lower and "abs" not in lower:
+    if "|" not in raw and "absolute value" not in lower and "abs" not in lower:
         return None
 
     # |x| = a
-    m = re.search(r"\|?\s*x\s*\|?\s*=\s*(-?\d+(?:\.\d+)?)", text.replace(" ", ""))
+    m = re.search(r"\|x\|=(-?\d+(?:\.\d+)?)", compact)
     if m:
         a = float(m.group(1))
         if a < 0:
@@ -34,12 +36,13 @@ def solve_absolute_value(text: str) -> Optional[SolverResult]:
             answer_value=f"{a:g} and {-a:g}",
             internal_answer=f"{a:g} and {-a:g}",
             steps=[
-                "For |x| = a with a ≥ 0, x = a or x = -a.",
+                "For |x| = a with a ≥ 0, split into two cases.",
+                "The variable can equal the positive value or the negative value.",
             ],
         )
 
-    # |x - a| = b
-    m = re.search(r"\|x-(-?\d+(?:\.\d+)?)\|=(-?\d+(?:\.\d+)?)", text.replace(" ", ""))
+    # |x-a| = b
+    m = re.search(r"\|x-(-?\d+(?:\.\d+)?)\|=(-?\d+(?:\.\d+)?)", compact)
     if m:
         a = float(m.group(1))
         b = float(m.group(2))
@@ -50,7 +53,9 @@ def solve_absolute_value(text: str) -> Optional[SolverResult]:
                 topic="absolute_value",
                 answer_value="no solution",
                 internal_answer="no solution",
-                steps=["Absolute value cannot equal a negative number."],
+                steps=[
+                    "Absolute value cannot equal a negative number.",
+                ],
             )
         x1 = a + b
         x2 = a - b
@@ -61,8 +66,8 @@ def solve_absolute_value(text: str) -> Optional[SolverResult]:
             answer_value=f"{x1:g} and {x2:g}",
             internal_answer=f"{x1:g} and {x2:g}",
             steps=[
-                "Split the absolute value equation into two cases.",
-                "Solve x − a = b and x − a = -b.",
+                "Split the absolute value equation into two linear cases.",
+                "Solve the positive case and the negative case.",
             ],
         )