Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.5 - Compound Inequalities - Exercise Set - Page 95: 59



Work Step by Step

$-6 \lt 3(x-2) \leq 8$ Using the properties of inequalities, divide all parts by 3 $\frac{-6}{3} \lt \frac{3(x-2)}{3} \leq \frac{8}{3}$ $-2 \lt x-2 \leq \frac{8}{3}$ Add 2 to all parts, $-2+2 \lt x-2 +2 \leq \frac{8}{3}+2$ $0 \lt x \leq \frac{8}{3}+2$ Take LCD $0 \lt x \leq \frac{8+6}{3}$ $0 \lt x \leq \frac{14}{3}$ In Interval Notation: $(0,\frac{14}{3}]$
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.