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Earn +20 ptsQ: Why are odd integers closed under multiplication but not under addition?
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Is the set of even integers closed under multiplication?
Yes
ARe odd integers not closed under addition?
That is correct, the set is not closed.
What does it mean to say that integers are closed under addition?
Any time you add integers, the sum will be another integer.
Are rational numbers are closed under addition subtraction multiplication and division?
They are closed under all except that division by zero is not defined.
Why the set of odd integers under addition is not a group?
Because the set is not closed under addition. If x and y are odd, then x + y is not odd.
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