Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - Chapter Test - Page 73: 24

Answer

When $ a\geq b\geq 0$ or $a\leq b\leq 0$ .

Work Step by Step

$|a-b|=|a|-|b| $ when: a) a is bigger than b such that $ a-b\leq 0$ Example: $ |5-3|= |5 |- |3 |$ $2=2$ b) b is greater than a such that $ |a-b|\leq 0$ Example: $ |-5-(-3)|= |-5 |- |-3 |$ $|-2 |= 5-3$ $2=2$
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