Suppose We Are Proving the Statement That If Two Integers

question 26

Multiple Choice

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

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