Suppose we are proving the statement that if two integers are even, then their sum is even. We execute the proof by first showing that if integer A and B are even, then they can be defined as A = 2k and B = 2m. We then note that their sum must be A + B = 2(k + m), which must be even. This is an example of what type of proof?
A) Proof by induction
B) Proof by transposition
C) Direct proof
D) Inductive reasoning

Question

Quizplus · Accepted Answer

This is a direct proof because we took the given premise and directly showed that it implies the conclusion using logical reasoning.

Suppose We Are Proving the Statement That If Two Integers