# Chapter 9 - Inequalities and Problem Solving - 9.3 Absolute-Value Equations and Inequalities - 9.3 Exercise Set: 9

Choice G

#### Work Step by Step

Since for any $c\gt0$, $|x|=c$ implies $x=c \text{ or } x=-c.$ The given, $|x-3|=5 ,$ is equivalent to \begin{array}{l}\require{cancel} x-3=5 \\\\\text{OR}\\\\ x-3=-5 .\end{array} Hence, $\text{ Choice G }.$

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