Intermediate Algebra (6th Edition)

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

Chapter 2 - Review - Page 113: 96

Answer

$\text{the interval } \left( 5,\infty \right] $

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ -2x\le6 \text{ and } -2x+3\lt-7 ,$ is \begin{array}{l}\require{cancel} x\ge\dfrac{6}{-2} \\\\ x\ge-3 \\\\\text{ AND }\\\\ -2x+3\lt-7 \\\\ -2x\lt-7-3 \\\\ -2x\lt-10 \\\\ x\gt\dfrac{-10}{-2} \\\\ x\gt5 .\end{array} Combining the two inequalities, in interval notation, the solution is $ \text{the interval } \left( 5,\infty \right] .$
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