Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - 9.3 Absolute-Value Equations and Inequalities - 9.3 Exercise Set - Page 599: 11

Answer

Choice D

Work Step by Step

Since for any $c\gt0$, $|x|\gt c$ implies $x\gt c \text{ or } x\lt-c$, the given inequality, $ |x-3|\gt5 ,$ is equivalent to \begin{array}{l}\require{cancel} x-3\gt5 \\\\\text{OR}\\\\ x-3\lt-5 .\end{array} Hence, $\text{ Choice D .}$
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