Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 1 - Speaking Mathematically - Exercise Set 1.1: 5

Answer

a. Given any positive real number $r$, the reciprocal of $r$ is positive. b. For any real number $r$, if $r$ is positive, then the reciprocal of $r$ is positive. c. If a real number $r$ is positive, then the reciprocal of $r$ is positive.

Work Step by Step

Recall that any reference to $r$ in the first half of the sentence must be balanced by a reference to $r$ in the second half. Thus, the following sentence is NOT in proper form: "If a real number $r$ is positive, then the reciprocal of that number is positive."
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