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Abstract Algebra

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Sets Closed Under Subtraction

ABSALG-O4HESM

For which of the following sets is the binary operation of ordinary subtraction closed?

Select ALL that apply.

A

$\{\dots, -4,-2,0,2,4,\dots\}$

B

$\{\dots, -5,-3,-1,1,3,5,\dots\}$

C

$\{0,1,2,3,\dots\}$

D

$\mathbb{Z}$

E

$\mathbb{Q}$

F

None of the above.