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 - Page 122: 32


$\left[ 1,7 \right]$

Work Step by Step

Using the properties of inequality, the given inequality, $ -1\le6-x\le5 ,$ simplifies to \begin{array}{l}\require{cancel} -1-6\le6-6-x\le5-6 \\\\ -7\le-x\le-1 \\\\ 7\ge x\ge1 \\\\ 1\le x\le7 .\end{array} Hence, the solution is the interval $ \left[ 1,7 \right] .$
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