Which statement about even and odd integers is **false**?

Question

Accepted Answer

D. The sum of an even integer and an odd integer is even.

Even + odd is always odd, not even. Example: $4 + 3 = 7$.
The other three are standard parity facts:
- odd + odd = even (e.g. $3 + 5 = 8$).
- even $	imes$ odd = even (any multiple of an even number is even).
- odd $	imes$ odd = odd (no factor of 2 is introduced).

Answer

The sum of two odd integers is even.

Answer

The product of an even integer and an odd integer is even.

Answer

The product of two odd integers is odd.