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: 2

Answer

True

Work Step by Step

RECALL: Absolute value is defined as: $|a| = a$ if $a \ge 0$ $|a| = -a$ if $a \lt 0$ Notice that: (i) If the number is positive or zero, its absolute value is itself. (ii) If the number is negative, its absolute value is its opposite, which is a positive number. Thus, the absolute value of any real number is either positive or zero. Therefore, the given statement is true.
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