Discrete Mathematics with Applications 4th Edition

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

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.1 - Page 161: 19


a. (1) For all integers $m$ and $n$, if $m$ is even and $n$ is odd, then $m+n$ is odd. (2) For all even integers $m$ and odd integers $n$, $m+n$ is odd. (3) If $m$ is an even integer and $n$ is an odd integer, then $m+n$ is odd. b. [a] any odd integer [b] integer $r$ [c] $2r+2s+1$ [d] $m+n$ is odd

Work Step by Step

The equivalent formulations of universal conditional statements are discussed beginning on page 101.
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