Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Rational Inequalities
Sign Analysis
Critical Points
Intervals
Formulas
For inequality of the form f(x)/g(x) < 0 or f(x)/g(x) ≤ 0, find critical points where the numerator and denominator are zero, and test sign of f(x)/g(x) in intervals.
Rewrite inequalities to a single expression and find critical points.
Theorems
Sign Analysis Method for Rational Inequalities
Suitable Grade Level
Grades 10-12