Which sets of numbers are closed under division? Choose all answers that are correct. A. rational numbers B. integers C. {–1, 0, 1} D. whole numbers

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Which sets of numbers are closed under division? Choose all answers that are correct. A. rational numbers B. integers C. {–1, 0, 1} D. whole numbers

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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i got a d
When you say whole number you mean the real numbers? Actually I think the answer is A.rational numbers and could be too D.whole number if you mean real numbers
I think letter B isnt right because division is not defined in integer numbers. For example: if we take two integer numbers 2 and 3 and then we divide them \[\frac{ 2 }{ 3 }\notin \mathbb{Z}^+ and \frac{ 2 }{ 3 }\notin \mathbb{Z}^-\] So division isnt closed for integers.

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And finally letter C is closed too (always saying that the division is not defined by zero) because every number in the set has inverse (-1,1) so division (multiplication of the inverse) is defined and closed. As you can see: 1/-1=-1 -1/1=1 1/1=1 -1/-1=1 0/1=0/-1=0

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