Let: U = {a, b, c, d, e, f, g, h} A = {a, c, f} B = {b, c, f} C = {b, d, e, g, h} Determine the (A∩C). A. (A∩B) ∪ (A∩C) = m B. (A∩B) ∪ (A∩C) is the empty set.

The ordering of the questions here is kind of confusing, so I'll just extract what seems to be relevant. They seem like True/False questions, but that's not clear to me.

There are no common elements between the sets A and C, so

A ∩ C = { } (the empty set)

Both sets A and B share the elements c and f, so

A ∩ B = {c, f }

and since we know A ∩ C is empty, we end up with

(A ∩ B) ∪ (A ∩ C) = {c, f } ∪ { } = {c, f }