Mathematics, 13.01.2020 10:31 aleilyg2005

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.

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