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: 6

Answer

True

Work Step by Step

For any real number $a$, $|a| \ge 0$. This means that the absolute value of any number or quantity is always greater than or equal to 0. Thus, in the given inequality, the value of $|x-2|$ is always greater than or equal to 0. Since $-6 \lt 0$, then, for any real number $x$, $|x-2| \ge -6$. The given statement is true.
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