Answer
$(1,3)$
Work Step by Step
$|x-2|+2\lt3$, so
$|x-2|\lt1$, so
$-1\lt x-2\lt1$, so
$1\lt x\lt3$, thus the solution set is $(1,3)$
College Algebra (10th Edition)
by Sullivan, Michael
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 133: 41
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