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 9 - Inequalities and Problem Solving - 9.3 Absolute-Value Equations and Inequalities - 9.3 Exercise Set: 91

Answer

The solutions to the inequality, $|x|\ge6$ include the interval $(-\infty, -6].$ Hence, $[6,\infty)$ is only part of the solution of $|x|\ge6.$

Work Step by Step

The solutions of the inequality $|x|\ge c,$ where $c$ is a positive constant are the intervals $(-\infty,-c]$ and $[c,\infty).$
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