College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Review Exercises - Page 164: 87

Answer

$\left[ 4,5 \right]$

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ 5\le2x-3\le7 ,$ is \begin{array}{l}\require{cancel} 5+3\le2x-3+3\le7+3 \\\\ 8\le2x\le10 \\\\ \dfrac{8}{2}\le\dfrac{2x}{2}\le\dfrac{10}{2} \\\\ 4\le x\le5 .\end{array} Hence, the solution is the interval $ \left[ 4,5 \right] .$
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