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 = ∅