Answer
$-5\leq x\leq4$
Work Step by Step
$|2x+1|\leq9$ implies $-9\leq 2x+1\leq9\\-10\leq 2x\leq8\\-5\leq x\leq4$.
Thus $-5\leq x\leq4$. I used a graphing utility to graph this set.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - Guided Practice for Examples 5 and 6 - Page 55: 11
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