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 - Review Exercises: Chapter 9 - Page 622: 2



Work Step by Step

In the given equation, $|x|=r,$ the left side is always a nonnegative number by the definition of the absolute value of a number. So if $r$ is negative, the equation cannot be satisfied and hence will have no solution. The given statement is then true.
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