Problem: Prove: The sum of two even integers is even. Use a Direct Proof.
Code: Select all
a + b even integers
a = 2n
b = 2m
a + b = 2n + 2m
a + b = 2(n + m)
Supposedly it is now proven. I do not get this at all, here are some questions:
1. Why do we set a and b to 2n and 2m?
2. Why the 2 at all?
3. What exactly is m and n?
4. How does 2(n + m) prove this question true at all? For example, how can I do a check using the proof to see some true outcomes?