Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.2 Real Numbers and Their Properties - R.2 Exercises - Page 20: 62

Answer

There is no associative property for subtraction.

Work Step by Step

There is no associative property for subtraction. To illustrate, if $a=1$ , $b=2$, and $c=3$, $(a-b)-c = (1-2)-3 = -1-3 = -1+(-3)=-4$ while $a-(b-c) = 1-(2-3) = 1 - (-1) = 1+1 = 2$ The two quantities are not equal.
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