Answer
$(1,3)$
See graph.
Work Step by Step
Step 1. $|x-2|+2\lt3$ or $|x-2|\lt1$ can be separated into $-1\lt x-2\lt 1$, thus we have the solution $(1,3)$
Step 2. See graph.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 2 - Linear and Quadratic Functions - Section 2.8 Equations and Inequalities Involving the Absolute Value Function - 2.8 Assess Your Understanding - Page 182: 47
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