Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Absolute Value Inequalities
Algebra
Inequality Solving
Formulas
Absolute Value Inequality |x + a| <= b becomes -b <= x + a <= b
Absolute Value Inequality |x + a| > b becomes x + a > b OR x + a < -b
Theorems
Absolute Value Properties: |x| >= 0 for all real numbers
Rules for Inequalities: When dividing or multiplying by a negative number, reverse the inequality sign
Suitable Grade Level
Grades 9-12
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