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: 14

Answer

Choice B

Work Step by Step

The absolute value of $x,$ written as $|x|,$ is the distance of $x$ from $0,$ and hence, is always a nonnegative number. Therefore, the left side of the given inequality, $ |x-3|\gt-5 ,$ is always nonnegative. This is always greater than the negative expression at the right. That is, all real values will satisfy the given inequality. Hence, $\text{ Choice B .}$
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