Question

For all integers m and n, if mn is even then m is even or n is even?
1) True
2) False

Answer 1

If the product of two integers, mn, is even, then at least one of m or n must be even.

Step-by-step explanation:

The statement is true. If the product of two integers, mn, is even, then it means that at least one of m or n must be even. This is because the product of an even number and any other number will always result in an even number. For example, if m is even and n is odd, the product mn will be even. Similarly, if m is odd and n is even, the product mn will still be even.