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Let m and n be two integers. Prove that 3mn is even if and only if m and n are of the

Chapter 3, Problem 6

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QUESTION:

Let m and n be two integers. Prove that 3mn is even if and only if m and n are of the same parity.

Questions & Answers

QUESTION:

Let m and n be two integers. Prove that 3mn is even if and only if m and n are of the same parity.

ANSWER:

Step 1 of 5

To prove the given property, we should prove that

1. If both   and are odd, then  is even.

2. If both   and are even, then  is even.

3. If   is even and is odd, then  is odd.

4. If   is odd and is even, then  is odd.

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