Intermediate Algebra (6th Edition)

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

Chapter 2 - Review - Page 112: 58

Answer

$\left[ -2, -\dfrac{9}{5} \right)$

Work Step by Step

Using compound inequalities, the solution to the given inequality, $ -2\le8+5x\lt-1 ,$ is \begin{array}{l}\require{cancel} -2-8\le8+5x-8\lt-1-8 \\\\ -10\le 5x\lt-9 \\\\ -\dfrac{10}{5}\le \dfrac{5}{5}x\lt-\dfrac{9}{5} \\\\ -2\le x\lt-\dfrac{9}{5} .\end{array} In interval notation, the solution is $ \left[ -2, -\dfrac{9}{5} \right) .$
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