Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.

A.
Yes, because the sum of any two multiples of 4 is also a multiple of 4.

B.
Yes, because the sum of any two multiples of 4 is also a multiple of 8.

C.
No, and a counterexample is –4 + (–8) = –12.

D.
No, and a counterexample is 26 + 16 = 42.

Question

Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.
 
 A.
Yes, because the sum of any two multiples of 4 is also a multiple of 4.
 
 B.
Yes, because the sum of any two multiples of 4 is also a multiple of 8.
 
 C.
No, and a counterexample is –4 + (–8) = –12.
 
 D.
No, and a counterexample is 26 + 16 = 42.

kendricklamar2014 · Answer

I believe this question is not complete. Do you have any more information?

anonymous · Answer

no.... i think that the set of multipules is imaginary

anonymous · Answer

@KendrickLamar2014

anonymous · Answer

can u help me? @KendrickLamar2014

green_1 · Answer

i think the answer is A because the multiples of 4 is 2 and you can add 2+2 or 2x2 to get 4

anonymous · Answer

ok, thanks

anonymous · Answer

do you mind if you help me with a few more?

anonymous · Answer

???

anonymous · Answer

@green_1