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 - Page 36: 69

Answer

a) yes b) no

Work Step by Step

A) |a-b| will always equal |b-a| because the sum of both expressions will equal to their opposite in value (Inverse Property of Addition). B) |a| + |b| will not always have the same result as |a+b| because one of the variables can be negative and the other positive, which means that there can be two different solutions.
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