Intermediate Algebra (6th Edition)

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

Chapter 5 - Cumulative Review: 9

Answer

$[-9,-\frac{9}{2}]$

Work Step by Step

$-1 \leq \frac{2x}{3}+5 \leq 2$ Using properties of inequality, add $-5$ to all parts, $-1-5 \leq \frac{2x}{3}+5 -5 \leq 2 -5$ $-6 \leq \frac{2x}{3} \leq -3$ Multiply all parts by $3$. $-6 \times 3 \leq \frac{2x}{3} \times 3 \leq -3 \times 3$ $-18 \leq 2x \leq -9$ Divide by $2$ $\frac{-18}{2}\leq\frac{2x}{2}\leq\frac{-9}{2}$ $-9 \leq x \leq \frac{-9}{2}$ In Interval Notation: $[-9,\frac{-9}{2}]$
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.