Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.2 Real Numbers and Their Properties - R.2 Exercises - Page 21: 101

Answer

false

Work Step by Step

RECALL: The absolute value of a number $a$ is defined as: $|a| = a$ if $a \ge 0$ $|a| = -a$ if $a \lt 0$ Thus, $|8-12|=|-4| = -(-4) = 4$ while $|8|-|12| = 8 - 12 = -4$ Therefore, $|8-12| \ne |8|-|12|$ The statement is false.
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