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No. Integers are not closed under division because they consist of negative and positive whole numbers. NO FRACTIONS!
No.
For a set to be closed under an operation, the result of the operation on any members of the set must be a member of the set.
When the integer one (1) is divided by the integer four (4) the result is not an integer (1/4 = 0.25) and so not member of the set; thus integers are not closed under division.
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Is the set of even integers closed under subtraction and division?
Subtraction: Yes. Division: No. 2/4 = is not an integer, let alone an even integer.
Under which operation is the set of odd integers closed?
addition
Is the set of multiples of 5 closed under division?
No.
Are rational numbers closed under subtraction?
Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.
Is the set of even integers closed under division?
No. For example: 2 and 6 are both members, but 6/2 = 3 is not; similarly 2 and 4 are both members but 2/4 = 0.5 is not (it is not an integer for starters).
