Answer
$|(x-y)|\geq$$|x|-|y|$
Work Step by Step
Use Triangle Inequality equation
$a=x-y$
$b=y$
substitute with the given of A and B
Subtract on both sides
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A10: 68
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