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: 15

Answer

$x=\{ -10,10 \}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $ |x|=10 ,$ use the definition of an absolute value equality. $\bf{\text{Solution Details:}}$ Since for any $c\gt0$, $|x|=c$ implies $x=c \text{ or } x=-c,$ the given equation is equivalent to \begin{array}{l}\require{cancel} x=10 \\\\\text{OR}\\\\ x=-10 .\end{array} Hence, $ x=\{ -10,10 \} .$
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