Question

If A = {2, 4, 6, 7, 8, 12}; B = {2, 7, 9, 10} and C = {5, 9, 10, 12}. Find

1. A – B

2. B – C

3. A – C

4. B – A

5. C – A

6. (A ∪ B) – C

7. A – {B ∩ C)

8. (A ∩ B) – (C ∩ A)

Answer 1

1. A – B = {4, 6, 8, 12} 

2. B – C = {2, 7} 

3. A – C = {2, 4, 6, 7, 8} 

4. B – A = {9, 10}

5. C – A = {5, 9, 10} 

6. (A ∪ B) – C = {2, 4, 6, 7, 8, 9, 10, 12} – {5, 9, 10, 12} = {2, 4, 6, 7, 8}. 

7. A – (B ∩ C) = {2, 4, 6, 7, 8, 12} – {9, 10} = {2, 4, 6, 7, 8, 12} 

8. (A ∩ B) – (C ∩ A) = {2, 7} – {12} = {2, 7}