Question

For all integers x and y, if x is even, then xy is even:

A) Always true
B) Always false
C) Sometimes true
D) Sometimes false

Answer 1

The statement "If x is even, then xy is even" is Sometimes true. When x is even, xy will be even, but if x is odd, xy will be odd.

Step-by-step explanation:

The statement "If x is even, then xy is even" is Sometimes true. When x is even, we can express it as 2n, where n is an integer. In this case, y can be any integer, and xy will be even. However, if x is odd (not even), then xy will be odd, regardless of the value of y.