Answer
| x | - | y | $\leq$ | x - y |
Work Step by Step
| x - y | + | y | $\geq$ | x - y + y | = |x| by triangle inequality;
So, | x - y | + | y | $\geq$ | x | ; subtracting both sides by | y |, we get:
| x - y | $\geq$ | x | - | y |
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 32
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