DIRECTIONS:If U = {a, b, c, d, e, f, g, h, i, j, k}; A = {a, b, c, e, f,}; B = {b, c, d, e}; C = {f, g, h}; and D = {a, e, g, i}. List the elements of the following sets.

1. A B ____________________________________________________________________

2. A' U D ___________________________________________________________________

3. A U___________________________________________________________________

4. (C U B)' _________________________________________________________________

5. (A U B) (C U D) __________________________________________________________

6. B' U (C ~ A)' ______________________________________________________________

7. (D ) U A _______________________________________________________________

8. A B ____________________________________________________________________

Note: - symmetric difference, no available symbol

9. C D ___________________________________________________________________

10. (A ~ C) (B D) _________________________________________________________

11. B' U C' __________________________________________________________________

12. (B U C)' (B ~ C) _________________________________________________________

13. (A U B C') ~ (D B) _____________________________________________________

14. (C ~ B U D)' _____________________________________________________________

15. A (B D) D' ______________________

A. Identify whether the following are FINITE, INFINITE, or EMPTY set.

1. The set of first seven whole numbers. _____

2. The set of letters in the word EXCELLENCE. _____

3. The set of real numbers. _____

4. The set of consonants in the English alphabet. _____

5. The set of fractions in integers. _____

6. The set of parallel lines to the y-axis. _____

7. The set of circles through the origin (0, 0). _____

8. Let Q = {natural numbers less than 25}. _____

9. Let S = {x : xZ and x^2-81 = 0}. _____

10. The set of all birds in California. _____

11. Set of all points in a line segment. _____

12. Set of all positive integers which is multiple of 3. _____

13. W = {0, 1, 2, 3, ...}. _____

14. N = {1, 2, 3,...}. ____

15. Z = {..., -4, -2, 0, 2, 4, ...}. _____

B. If U = {a, b, c, d, e, f, g, h, i, j, k}; A = {a, b, c, e, f,}; B = {b, c, d, e}; C = {f, g, h}; and D = {a, e, g, i}. What are the cardinal numbers of the following sets?

16. n(A) _____

17. n(B) _____

18. n(C) _____

19. n(D) _____

20. n(U) _____

21. n(A U B) _____

22. n(A C) _____

23. n(C D) _____

24. n(B U C) _____

25. n(A B C) _____

26. n(D') _____

27. n(A ~ C) _____

28. n(B ~ D') _____

29. n(D U C A) _____

30. n(C' A'B) _____ Note:for symmetric difference symbol, no symbol available.

C. If U = {a, b, c, d, e, f, g}; A = {a, b, c, d, e}; B = {a, b, c}; and C = {b, c, f}. Which of the following are TRUE and which are FALSE?

31. A = C _____

32. A = _____

33. A is not a proper subset of C _____

34. a is not an element of C _____

35. A is a subset ofU_____

36. C is a proper subset ofU_____

37. B C _____

38. is a subset ofU_____

39. C is a subset ofU_____

40. B is not a proper subset ofU_____