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

Mathematics

Alfred Salas

14 February, 14:17

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)

Know the Answer?

Marcus Mays · 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