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: 99

Answer

They are not equivalent since the solutions are not the same.

Work Step by Step

The value, $x=-2.5,$ is a solution of the inequality $x\gt-3,$ but is not a solution of the inequality, $x\ge-2.$ Since the solutions of $x\gt-3$ and $x\ge-2$ are not the same, then the inequalities are not equivalent.
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