Can You answer all of these questions?

2.2 Venn Diagrams and Subsets 65 HW # 1-6 all # 41, 43, 47, 49, 53 7- 13odd 15-21 odd 2 EXERCISES 23 - 29 odd Match each set or sets in Column I with the appropriate description in Column II. 1. (p), (q), {p, q), 0 A. the complement of 2. (p), (q), 0 B. the proper subsets of ( p, q} 3. {a, b} C. the complement of ( c. d'}, if U = {a, b, c. d'} 4. 0 D. the complement of U 5. U E. the complement of (b ), if U = {a, b} 6. (a) F. the subsets of {p, q) Insert C or & in each blank so that the resulting statement is true. 7. {-2, 0, 2} - {-2, - 1, 1, 2} 8. { Monday, Wednesday, Friday } { Sunday, Monday, Tuesday, Wednesday, Thursday } 9. {2, 5 } - {0, 1, 5. 3, 4, 2} 10. {a, n. d} _ {r. a, n, d, y} 11. 9 - - {a. b, c. d. e} 12. 0 - - 9 13. {- 7. 4, 9 } - _{x |x is an odd integer} 14. {2, 1/3, 5/9} the set of rational numbers Decide whether C, C, both, or neither can be placed in each blank to make the statement true. 15. {B, C, D } { B, C, D, F} 16. {red, green, blue, yellow ) _ [green, yellow, blue, red ) 17. {9, 1, 7, 3, 5} {1, 3, 5, 7.9} 18. {S, M, T, W, Th} {M. W. Th, S} 19. 0 _ 20. 0 - - $ 21. {- 1, 0, 1, 2, 3} {0, 1, 2, 3, 4} 22. {5/6, 9/8} {6/5, 8/9} For Exercises 23-42, tell whether each statement is true or false. Let U = {a, b, c, d, e, f, g) A = {a, e} - B = {a, b. e, f, g) C = {b, f, g) D = {d, e}. 23. A C U 24. CCU 25. D C B 26. D CA 27. A C B 28. B CC 29. 0 C A 30. 0 CD66 CHAPTER 2 The Basic Concepts of Set Theory 31. 0 CO 32. D CB 33. D & B 34. A & B 35. There are exactly 6 subsets of C. 36. There are exactly 31 subsets of B. 37. There are exactly 3 subsets of A. 38. There are exactly 4 subsets of D. 39. There is exactly 1 subset of 9. 40. There are exactly 127 proper subsets of U. 41. The drawing below correctly represents the 42. The drawing below correctly represents the relationship among sets A, C, and U. relationship among sets B, C, and U. .. .:. C C . Find the number of subsets and the number of proper subsets of each of the following sets. 43. {1, 5, 10} 44. {8, 6, 4, 2} 45. {a, b, c, d, e, f } 46. the set of days of the week 47. {x | x is an odd integer between -6 and 4} 48. {x|x is an odd whole number less than 4} Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and find the complement of each of the following sets. 49. {1, 4, 6, 8} 50. {2, 5, 7, 9, 10} 51. {1, 3, 4, 5, 6, 7, 8, 9, 10} 52. {1, 2, 3, 4, 6. 7, 8, 9, 10} 53. 54. U giveshing up. ... Terry McGinnis is Refer to these characteristics in Exercises 55-60. planning to take her two sons to Washington, D.C. during their Thanksgiving vacation. In weighing her 55. Find the smallest universal set U that contains all options concerning whether to fly or drive from their listed characteristics of both options. home in Iowa, she has made up the following list of characteristics. Let F represent the set of characteristics of the flying option and let D represent the set of characteristics of he driving option. Use the universal set from Fly to D.C. Drive to D.C. Exercise 55. Higher cost Lower cost 56. Give the set F' . 57. Give the set D'. Educational Educational More time to see the Less time to see the sights sights Find the set of elements common to both sets in Cannot visit relatives Can visit relatives Exercises 58-60 along the way along the way 58. F and D 59. F' and D' 60. F and D' Meeting in a Hospitalis: Exie Ana Pott, Bill Leonard, Christy Lawrence, Dinya Floyd, and Emily Falzon plan to meet at the hospitality suite after the CEO makes his speech at the January sales meeting of their publishing com- pany. Denoting these five people by A, B, C, D, and E, list all the possible sets of this group in which the given number of them can gather. 61. five people 62. four people 63. three people 64. two people 65. one person 66. no people