Question

Let U = {0, 1, 2, 3, 4, 5,...}, A = {1, 2, 3, 4,...}, B = {4, 8, 12, 16,...}, and C = {2, 4, 6, 8,...}. Determine the following:

A′ ∩ C

Answer 1

Given

U = {0, 1, 2, 3, 4, 5,...},
A = { 1, 2, 3, 4,...}
where U is the universal set, then
A'=complement of A
= U-A
and A' contains all elements that are in U but not in A, namely
A'={0}
Since C={2,4,6,8...} and does not contain 0, so we conclude that
A' ∩ C = ∅