# Chapter 1 - Section 1.8 - Absolute Value Equations and Inequalities - 1.8 Exercises: 6

Choice A

#### Work Step by Step

Since for any $a\gt0$, $|x|\ge a$ implies $x\ge a$ or $x\le-a$, then the given inequality, $|x|\ge7 ,$ is equivalent to \begin{array}{l}\require{cancel} x\ge7 \\\\\text{OR}\\\\ x\le-7 .\end{array} Hence, the graph is $\text{ Choice A }.$

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