Answer
$[-1,\dfrac{1}{2}]$
Work Step by Step
Given: $|-3+4(x+1)| \leq 3$
or, $-3 \leq -3+4x+4 \leq 3$
or,$-3 \leq 4x+1 \leq 3$
or, $-3-1 \leq 4x\leq 3-1$
or, $-1 \leq x\leq \dfrac{1}{2}$
Hence, $[-1,\dfrac{1}{2}]$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 4 - Section 4.3 - Equations and Inequalities Involving Absolute Value - Exercise Set - Page 284: 80
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