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: 101

Answer

$(-∞, -10]∪[2, ∞)$

Work Step by Step

Plug the given conditions into an inequality. Solve the first inequality by removing the absolute value sign and simplifying, and solve the second inequality by flipping the sign, making the right side negative, and then simplifying. $7-|\frac{x}{2}+2|\leq4$ $-|\frac{x}{2}+2|\leq-3$ $|\frac{x}{2}+2|\geq3$ $\frac{x}{2}+2\geq3$ $\frac{x}{2}\geq1$ $x\geq2$ $\frac{x}{2}+2\leq-3$ $\frac{x}{2}\leq-5$ $x\leq-10$ $x\leq-10, x\geq2$ $(-∞, -10]∪[2, ∞)$
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.