College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.7 - Page 196: 66


$-\frac{19}{3}\leq x\leq7$

Work Step by Step

The absolute value of multiple values can turn the right side positive or negative when broken down. With inequalities, it also flips the sign when the other side turns negative. $|3(x-1)+2|\leq20$ $3(x-1)+2\leq20$ $3x-1\leq20$ $3x\leq21$ $x\leq7$ $3(x-1)+2\geq-20$ $3x-1\geq-20$ $3x\geq-19$ $x\geq-\frac{19}{3}$ $-\frac{19}{3}\leq x\leq7$
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