Question 8
SetsGiven the universal set U = {1, 2, 3, 4, 5, 6} and the sets P = {1, 2, 3, 4}, Q = {3, 4, 5} and R = {2, 4, 6}. Find P ∪ (Q ∪ R)′.
- A.{4}
- B.{1, 2, 3, 4}
- C.{1, 2, 3, 5, 6}
- D.{1, 2, 3, 4, 5, 6}
Show the answer and explanation
Answer: B ({1, 2, 3, 4})
Explanation
Q ∪ R = {2, 3, 4, 5, 6}, so its complement is {1}. Then P ∪ {1} = {1, 2, 3, 4}.