Calculus (3rd Edition)

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

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 |
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