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 - Page 475: 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.