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Earn +20 ptsQ: Is the set of integers closed under addition?
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What is the set of whole numbers closed by?
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
Is the set of even integers closed under addition and multiplication?
Yes.
Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Is set of integers is a field?
The set of integers is not closed under multiplication and so is not a field.
Is the set of all even integers closed with respect to addition?
Yes, it is.
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