Answer
$$-3\lt x\lt4
.$$
Work Step by Step
We solve for $x$ as follows:
$$
-1\lt2x+5\lt13 \Longrightarrow
-5-1\lt2x\lt13-5\\
\Longrightarrow -6\lt2x\lt8\Longrightarrow -\frac{3}{2}\lt x\lt\frac{8}{2}\\
\Longrightarrow -3\lt x\lt4
.$$
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 181: 5
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