Answer:
Answers:
A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10}
A ∩ C = {7, 8}
B U C = {1, 2, 5, 6, 7, 8, 9, 10, 11}
A ∩ B U C = {2, 5, 7, 8, 9, 11}
(A U B) ∩ C = {5, 7, 8}
Solutions:
1. A U B = Set A = {2, 3, 4, 7, 8} + Set B = {1, 2, 5, 6, 8, 10}
A U B = {1, 2, 3, 4, 5, 6, 7, 8, 10}
2. A ∩ C = Set A = {2, 3, 4, 7, 8} compared to Set C = {5, 7, 8, 9, 11}
Common Elements: {7, 8}
A ∩ C = {7, 8}
3. B U C = Set B = {1, 2, 3, 5, 6, 10} + Set C = {5, 7, 8, 9, 11}
B U C = {1, 2, 3, 5, 6, 7, 8, 9, 10, 11}
4. A ∩ B U C = Set A = {2, 3, 4, 7, 8} compared to Set B = {1, 2, 5, 6, 8, 10} + Set C = {5, 7, 8, 9, 11}
Common Elements of A and B = {2, 8,}
A ∩ B U C = {2, 8} + {5, 7, 8, 9, 11}
A ∩ B U C = {2, 5, 7, 8, 9, 11}
5. (A U B) ∩ C = Set A = {2, 3, 4, 7, 8} + Set B = {1, 2, 3, 5, 6, 10} compared to Set C = {5, 7, 8, 9, 11}
(A U B) ∩ C = {1, 2, 3, 4, 5, 6, 7, 8, 10} compared to {5, 7, 8, 9, 11}
Common Elements are 5, 7, and 8
(A U B) ∩ C = {5, 7, 8}
Step-by-step explanation:
