alleryStart learning →Which statement about even and odd integers is **false**?
AThe sum of two odd integers is even.
BThe product of an even integer and an odd integer is even.
CThe product of two odd integers is odd.
DThe sum of an even integer and an odd integer is even.
Answer & Solution
Correct 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 $\times$ odd = even (any multiple of an even number is even).
- odd $\times$ odd = odd (no factor of 2 is introduced).
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