5. The problem with the "proof" given on page 121 (Begging the question) is that they assumed the thing they were supposed to be proving. Fill in the steps to correctly prove that the product of any two odd integers is odd.
Proof Suppose m and n are odd integers. By definition of odd, m = 2a + 1 and n = 2b + 1 for some integers a and b. Then
m · n |
= |
(2a + 1)(2b + 1) |
= |