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: 30

Answer

$m=0$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $ |m|+3=3 ,$ isolate first the absolute value expression. Then use the definition of an absolute value equality. $\bf{\text{Solution Details:}}$ Using the properties of equality, the given equation is equivalent to \begin{array}{l}\require{cancel} |m|+3=3 \\\\ |m|=3-3 \\\\ |m|=0 .\end{array} The expression above is satisfied only when $ m=0. $
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