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 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set: 99

Answer

$x=\{-23,23\}$

Work Step by Step

Using the properties of equality, the given equation, $ 7+|x|=30 $, is equivalent to \begin{array}{l} 7+|x|-7=30-7 \\\\ |x|=23 .\end{array} Since $|x|=c$ implies $x=c$ or $x=-c$, then the solution to the equation, $ |x|=23 $, is \begin{array}{l}\require{cancel} x=23 \\\\\text{OR}\\\\ x=-23 .\end{array} Hence, $ x=\{-23,23\} $.
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