Math Problem Statement

Solve the inequality | -4 - x | ≤ 2 * | 3x |

Solution

The image you've uploaded contains the following mathematical expression:

4x23x| -4 - x | \leq 2 \cdot | 3x |

This inequality involves absolute values, which means we need to handle the expressions inside the absolute values carefully, solving them by considering the different cases based on the values of xx.

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Absolute Value

Formulas

|a| ≤ b
Properties of absolute values

Theorems

Absolute value inequality theorem

Suitable Grade Level

Grades 9-11