## Discrete Mathematics with Applications 4th Edition

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