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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.

User IChido
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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

AC = { } (the empty set)

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

AB = {c, f }

and since we know AC is empty, we end up with

(AB) ∪ (AC) = {c, f } ∪ { } = {c, f }

User Olivier De Rivoyre
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