Math Problem Statement

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Find the range of values for 'x' such that |x - 1| - |x + 1| ≤ x^2 - 1. The final result must be in interval notation.

Solution

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Math Problem Analysis

Mathematical Concepts

Inequalities
Absolute Value
Quadratic Functions
Interval Notation

Formulas

|a| = a if a >= 0, |a| = -a if a < 0
Quadratic inequality x^2 - 1 = 0

Theorems

Properties of Absolute Value
Quadratic Inequality Solutions

Suitable Grade Level

Grades 10-12