College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding - Page 134: 94

Answer

$x=1$ or $x=0$

Work Step by Step

$x+|3x-2|=2 $ or $x+|3x-2|=-2 $ Thus $x-2=-|3x-2| $ or $x+2=-|3x-2|$ Thus $x-2=-3x+2$ or $x-2=3x-2$ or $x+2=-3x+2$ or $x+2=3x-2$ Thus $x=1$ or $x=0$ or $x=0$ or $x=2$ (but this is not a solution after substituting back).
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