claim
The proof for problem #3.
Assume m is even.
The claim for problem #3.
If m is even, then 6m + 3 is odd
The definitions for problem #3.
This means m=2x for any integer x.
The logic for problem #3.
Consider 6m + 3.
6m+3 = 6(2x)+3
12x+3=12x+2+1
2(6x+1)+1
The creativity for problem #3.
But, 6x+1 is just another integer, call it z.
So, 2z+1 = 6m+3