Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Summary Exercises - Reviewing a Chapter - Solving Linear and Absolute Value Equations and Inequalities: 31

Answer

$\left[ -\dfrac{1}{3}, 3 \right]$

Work Step by Step

Using the properties of inequality, the given inequality, $ -2\le 3x-1\le 8 ,$ simplifies to \begin{array}{l}\require{cancel} -2+1\le 3x-1+1\le 8+1 \\\\ -1\le 3x\le 9 \\\\ -\dfrac{1}{3}\le x\le \dfrac{9}{3} \\\\ -\dfrac{1}{3}\le x\le 3 .\end{array} Hence, the solution is the interval $ \left[ -\dfrac{1}{3}, 3 \right] .$
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.