# Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises: 42

Interval: $(-\infty,\ \infty)$

#### Work Step by Step

$7|x+2|+5\gt4$ $7|x+2|\gt4-5$ $7|x+2|\gt-1$ $|x+2|\gt-\frac{1}{7}$ The absolute value is always positive and thus is always greater than $-\frac{1}{7}$. So this inequality holds true for all real numbers. Interval: $(-\infty,\ \infty)$

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