College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding: 44

Answer

The solution is $[-6,1]$.

Work Step by Step

$|2u+5|\leq7$ Isolate the absolute value $-7\le2u+5\leq7$ Add 2 to each term $-7-5\le2u+5-5\leq7-5$ $-12\leq2u\leq2$ Divide each term by 3 $\frac{-12}{2}\leq\frac{2u}{2}\leq\frac{2}{2}$ $-6\leq{u}\leq1$ The solution is $[-6,1]$.
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