Use proof by contraposition to prove that the following statement is true for all positive integers m, n:  if the product mn is odd, then both m and n are odd.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 7E
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Use proof by contraposition to prove that the following statement is true for all positive integers m, n: 

if the product mn is odd, then both m and n are odd. 

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