Answer
$a=7$ and $b=13$
Work Step by Step
We are given:
$|x-3|\leq 1$
$-1\leq x-3\leq 1$
We add $3$:
$2\leq x\leq 4$
And multiply by $3$:
$6\leq 3x\leq 12$
And add $1$:
$7\leq 3x+1\leq 13$
Therefore:
$a=7$ and $b=13$
College Algebra (10th Edition)
by Sullivan, Michael
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 - Page 134: 76
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