Answer
$[-\dfrac{7}{3},1]$
Work Step by Step
Given: $|-1+3(x+1)| \leq 5$
or, $-5 \leq -1+3x+3 \leq 5$
or, $-5\leq 3x+2 \leq 5$
or, $-5-2\leq 3x \leq 5-2$
or, $-7\leq 3x \leq 3$
or, $-\dfrac{7}{3}\leq x \leq 1$
Hence, $[-\dfrac{7}{3},1]$
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: 79
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
