Answer
See below.
Work Step by Step
We have two cases:
1) $|a|=a$, then $a\leq a=|a|$
2) $|a|=-a$, then $-a\geq a=|a|\\a\leq |a|$
The statement is true in both cases thus we proved what we had to.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding - Page 134: 80
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