Question

If A = {1, 2, 4, 6, 7, 8}; B = {2, 5, 7, 9, 10} and C = {4 , 5, 9, 10}. Find

1. A ∪ B

2. B ∪ C

3. A ∪ C

4. A ∩ B

5.B ∩ C

6. A∪ B ∪ C

7. A ∩ B ∩ C

8. (A ∩ B) ∪ (C ∩ A) 

Answer 1

1. A ∪ B = {1, 2, 4, 5, 6, 7, 8, 9, 10}

2. B ∪ C = {2, 4, 5, 7, 9, 10}

3. A ∪ C = {1, 2, 4, 5, 6, 7, 8, 9, 10}

4. A ∩ B = {2, 7}

5. B ∩ C = {5, 9, 10}

6. A ∪ B ∪ C = {1, 2, 4, 5, 6, 7, 8, 9, 10}

7. A ∩ B ∩ C = Φ

8. (A ∩ B) ∪ (C ∩ A) = {2, 7} u {4} = {2, 4, 7}