The set of even numbers is closed under addition, the set of odd numbers is not.
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The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
yes because real numbers are any number ever made and they can be closed under addition
That is correct, the set is not closed.
They are closed under all except that division by zero is not defined.
Because the set is not closed under addition. If x and y are odd, then x + y is not odd.