CIS 125

16 Set Operations & Venn Diagrams

 

Let the universe be the set U={1,2,3,4,5,6,7,8,9,10}.

Let A={1,4,7,10}, B={1,2,3,4,5}, and C={2,4,6,8}.

For exercises 1-16, list the elements of each set below.

 

1. A B

 

 

 

 

2. B C

 

3. A B

 

 

 

 

4. B A

 

5. ~A

 

 

 

 

6. U - C

 

7. ~U

 

 

 

 

8. A

 

9. B

 

 

 

 

10. A U

 

11. B U

 

 

 

 

12. A (B C)

 

13. ~B (C A)

 

 

 

 

14. (A B) C

 

15. ~(A B) C

 

 

 

 

16. (A B) ( C B)

 

 

 

 

 

 

For Exercises 17-20 draw a Venn diagram and shade the given set.

 

17. A ~B

 

 

 

 

 

 

18. ~A B

 

 

 

 

 

 

19. B (B A)

 

 

 

 

 

 

20. (A B) B