Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-6 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 47: 77

Answer

sometimes true

Work Step by Step

If $x\geq 0$, then yes, we’ll have that $|x| = x$. For example, $|5| = 5$ However, if $x \lt 0$, then $|x| \ne x$. For example, $|–5|=5$, and not $–5$. Therefore, the given statement is sometimes true. It’ll be true whenever $x\ge 0$ and false whenever $x\lt0$.
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