Given A is a subset of B and A ∩ C = ∅, what is A ∩ C?

• A. The Empty Set
• B. Set A
• C. Set C
• D. Set B

Answer: (A)

The intersection of two sets contains exactly the elements that are in both. If there are no elements common to both, the intersection is the empty set. Here it’s given that A ∩ C = ∅, so the intersection has no elements at all. The fact that A is a subset of B doesn’t affect this conclusion. Therefore, the result is the empty set.