Math Problem Statement

Есть неравенство ∣a±b∣≥∣∣a∣−∣b∣∣. Могу ли я убрать модуль в правой части неравенства?\left|a\pm b\right|\ge\left|\left|a\right|-\left|b\right|\right|\text{. Могу ли я убрать модуль в правой части неравенства?}

Solution

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Math Problem Analysis

Mathematical Concepts

Absolute Value Inequalities
Modulus
Algebra

Formulas

$$ \left|a\pm b\right| \ge \left|\left|a\right| - \left|b\right|\right| $$
$$ |a| - |b| $$

Theorems

Properties of Absolute Value
Triangle Inequality

Suitable Grade Level

Grades 10-12

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