1.4 - De Morgon's Law and Distributive Law - MCQs
1. According to De Morgan's Law, what is the complement of the union of two sets X and Y?
2. According to De Morgan's Law, what is the complement of the intersection of two sets X and Y?
3. Given U = {1,2,3,4,5,6}, A = {2,3}, and B = {3,4,5}, what is (A ∪ B)'?
4. Given U = {1,2,3,4,5,6}, A = {2,3}, and B = {3,4,5}, what is A' ∩ B'?
5. If A and B are two sets, what is the result of A ∩ (A ∪ B)'?
6. Which of the following represents the correct application of De Morgan’s Law for the complement of the intersection of two sets A and B?
7. Given U = {1, 2, 3, 4, 5, 6}, A = {2, 3}, and B = {3, 4, 5}, what is A' ∩ B'?
8. According to the Distributive Law, what is A ∪ (B ∩ C) equivalent to?
9. According to the Distributive Law, what is A ∩ (B ∪ C) equivalent to?
10. If A = {1,2,3,6} and B = {2,4,6,8}, what is (A ∪ B)?
11. For sets A = {1,2,3,6} and B = {2,4,6,8}, what is (A ∩ B)?
12. Given A = {1,2,3,6}, B = {2,4,6,8}, and C = {1,3,5,7}, what is (A ∪ B) ∩ (A ∪ C)?
13. Given A = {1,2,3,6}, B = {2,4,6,8}, and C = {1,3,5,7}, what is (A ∩ B) ∪ (A ∩ C)?
14. Using the Distributive Law, what is (A ∩ B) ∪ (A - B)?
15. To prove that A ∩ (A' ∪ B) = A ∩ B, which law is used?
