Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.
AYes, because the sum of any two multiples of 4 is also a multiple of 4.
BYes, because the sum of any two multiples of 4 is also a multiple of 8.
CNo, and a counterexample is –4 + (–8) = –12.
DNo, and a counterexample is 26 + 16 = 42.
AYes, because the sum of any two multiples of 4 is also a multiple of 4.
BYes, because the sum of any two multiples of 4 is also a multiple of 8.
CNo, and a counterexample is –4 + (–8) = –12.
DNo, and a counterexample is 26 + 16 = 42.