Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises - Page 181: 107


$\color{blue}{\left\{-11, 3\right\}}$

Work Step by Step

RECALL: $|x|=a \longrightarrow x=a \text{ or } x = -a$ Use the rule above to have: $|x+4| = 7\longrightarrow x+4=7 \text{ or } x+4 = -7$ Solve each equation to obtain: $x+4=7 \\x=7-4 \\x=3$ or $x+4=-7 \\x=-7-4 \\x=-11$ Thus, the solution set is $\color{blue}{\left\{-11, 3\right\}}$.
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