Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 9



Work Step by Step

Using the properties of inequality, the given expression, $-2\gt x,$ is equivalent to \begin{array}{l}\require{cancel} -2\gt x \\\\ -x\gt 2 \\\\ -1(-x)\gt -1(2) \\\\ x\lt -2 .\end{array} The inequality above is the same as the other given inequality, $x\lt-2.$ Hence, the given expressions are $\text{ equivalent .}$
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