## Algebra 1

Published by Prentice Hall

# Chapter 1 - Foundations for Algebra - 1-5 Adding and Subtracting Real Numbers - Practice and Problem-Solving Exercises - Page 36: 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 $|x-y|\overset?=|x|-|y|$ $|4-(-2)|\overset?=|4|-|-2|$ $|4+2|\overset?=4-2$ $6\ne2$

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