Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.1 - Equations and Inequalities Involving Absolute Value - Concept Quiz 11.1: 5

Answer

False

Work Step by Step

RECALL: $|a| = k \longrightarrow a = k \text{ or } a = -k$ In the given equation, $k=0$. Thus, using the rule above gives: $|x+5| = 0 \longrightarrow x+5 = 0$ Solve the equation to obtain: $x+5=0 \\x=-5$ Thus, the solution set of the given equation is $\left\{-5\right\}$. Therefore, the given statement is false.
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