Question 4
SetsThe sets A = {1, 3, 5, 7, 9, 11}, B = {2, 3, 5, 7, 11, 15}, C = {3, 6, 9, 12, 15} are subsets of U = {1, 2, 3, …, 15}. What is the value of A' ∩ C (B ∪ C)
- A.{6, 12, 15}
- B.{12, 15}
- C.{6}
- D.{2, 6, 12, 15}
Show the answer and explanation
Answer: A ({6, 12, 15})
Explanation
A' is everything in U not in A, so A' ∩ C = {6, 12, 15}. All of these are in B ∪ C (which contains C), so the result stays {6, 12, 15}.