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 - Page 133: 52


The solution set is {$x|x\geq-6 $ and $x\leq6$}.

Work Step by Step

$|-x|-|4|\leq2$ Simplify $|-x|-4\leq2$ Isolate the absolute value. $|-x|-4+4\leq2+4$ Add 4 both sides. $|-x|\leq6$ Solve absolute value $-6\leq-x\leq6$ $\frac{-6}{-1}\geq\frac{-x}{-1}\geq\frac{6}{-1}$Divide each term by -1 and reverse the inequality symbols. $6\geq{x}\geq-6$ $x\geq-6 $ and $x\leq6$ The solution set is {$x| x\geq-6 $ and $x\leq6$}.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.