Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.1 - Real Numbers - 1.1 Exercises: 7


a.) No, one side of the equation may be negative while the other positive. b.) No, right side is -10 while the left side is +10

Work Step by Step

a.) when subtracting, the Commutative Property cannot be applied. Ex.) 3-5 = 5-3 -2 $\ne$ 2 The left side equals -2 since 3-5 = -2. The right side, however, equals 2 since 5-3 = 2. Therefore: a-b $\ne$ b-a b.) We first use the Distributive Property -2(a-5) = -2a-2(-5) If a minus sign is next to a set of parenthesis, we can then distribute it as a -1. -2a+10 We then determine that it cannot equal -2a-10. -2a+10 $\ne$ 2a-10
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