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

Miguel

Mathematics

13 December, 17:59

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.

+5

Answers (1)

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Anderson Holland · Answer 1

The right answer for the question that is being asked and shown above is that: "B. Yes, because the sum of any two multiples of 4 is also a multiple of 8." the set of multiples of 4 closed under addition