Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

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: 61

Answer

$ (-2,4)$ See graph.

Work Step by Step

Step 1. $5-|x-1|\gt2 \longrightarrow |x-1|\lt3 \longrightarrow -3\lt x-1\lt3 \longrightarrow -2\lt x\lt4$, thus we have the solution $ (-2,4)$ Step 2. See graph.
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