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 - 1-5 Adding and Subtracting Real Numbers - Practice and Problem-Solving Exercises: 64

Answer

This statement is false.

Work Step by Step

When y is negative, the two expressions are not equivalent. For example, consider x=4 and y=-2 |x−y|=|x|−|y| |4−(−2)|=|4|−|−2| |4+2|=4−2 6≠2
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