Section 2.2 Subsets 71 Exercise Set 2.2 Practice Exercises In Exercises 1-18, write or in each blank so that the resulting statement is true. 1. {1, 2, 5} {1, 2, 3, 4, 5, 6, 7} 2. {2, 3, 7} {1, 2, 3, 4, 5, 6, 7} 3. {-3, 0, 3} {-4,-3,-1, 1, 3, 4} 4. {-4, 0, 4} 5. {Monday, Friday} {-3, -1, 1, 3} {Saturday, Sunday, Monday, Tuesday, Wednesday} 6. {Mercury, Venus, Earth} {Venus, Earth, Mars, Jupiter} 7. {x/x is a cat} {xx is a black cat} {x|x is a pure-bred dog} ibrary mbers, ause the entire sual 8. {xx is a dog} 9. (c, o, n, v, e, r, s, a, t, i, o, n} {v, o, i, c, e, s, r, a, n, t, o, n} 10. [r, e, v, o, l, u, t, i, o, n} {t, o, l, o, v, e, r, u, i, n} 33. A = {x|x E N and 5 < x < 12} B = {x|x E N and 2 ≤ x ≤ 11} A_ B 34. A = {x|x = N and 3 < x < 10} B = A. {x|x = N and 2 ≤ x ≤ 8} B 35. Ø {7, 8, 9,..., 100} 36. Ø _{101, 102, 103, . . ., 200} 37. [7, 8, 9,...} 38. [101, 102, 103, ...} 39. Ø 40. { } { } e In Exercises 41-54, determine whether each statement is true or false. If the statement is false, explain why. 41. Leonard = {Leonard, Sheldon, Howard, Raj} 42. Canada Є {Mexico, United States, Canada} 43. Leonard C (Leonard, Sheldon, Howard, Raj} 44. Canada C (Mexico, United States, Canada} 45. {Leonard} C {Leonard, Sheldon, Howard, Raj} 46. [Canada] C {Mexico, United States, Canada} 47. {Lucious, Cookie, Hakeem, Jamal, Andre} C{Robb, Sansa, Arya, Brandon} 49. {5} = {{5}, {9}} 51. {1,4}{4, 1} 53. 0 % 0 11. {1,3} {1,3} 12. {1,} 13. 0. {2, 4, 6} 15. {2, 4, 6} 17. { } 14. 0 16. {1, 3, 5} 18. 0 { } _{2, 3, 5} {1, 3, 5} 0 who han dered In Exercises 19-40, determine whether C, C, both, or neither can be placed in each blank to form a true statement. 48. ker, 19. {H, D, T, V} {H, D, T, V, S} ng 20. {F, I, N} {F, I, N, K} be 21. {0, 2, 4, 6, 8} {8, 0, 6, 2, 4} es. 22. (9, 1, 7, 3, 4} {1, 3, 4, 7, 9} alty 23. {x|x is a parrot} was 24. {x|x is an eagle} {x|x is a parrot} work 25. {x|x is a parrot} S ator's 26. {x|x is an eagle} {x|x is a bird} _{x|x is a bird} 27. {x|x is a parrot or an eagle} {x|x is a bird} 61. {2, 4, 6, 8} {x|x is a bird} 63. {2, 4, 6, 8, 10, 12} {x|x is an eagle} 50. {1} Є {{1}, {3}} 52. {1,4} {4, 1} 54. {0} 0 In Exercises 55-60, list all the subsets of the given set. 55. {border collie, poodle} 57. {t, a, b} 59. {0} 56. (Romeo, Juliet} 58. {I, II, III } 60. 0 In Exercises 61-68, calculate the number of distinct subsets and the number of distinct proper subsets for each set y, he is a nts is 28. {x|x is an eagle or a parrot} 29. A = {x|x E N and 5 < x < 12} B = the set of natural numbers between 5 and 12 B A_ 30. A = {x|x = N and 3 < x < 10} B = the set of natural numbers between 3 and 10 A_ B 31. A = {x|x Є N and 5 < x < 12} B = the set of natural numbers between 3 and 17 A_ B 32. A = {x|x € N and 3 < x < 10} B = the set of natural numbers between 2 and 16 A B 65. {x|x is a day of the week} 62. {} 64. {a, b, c, d, e, f} 66. {xx is a U.S. coin worth less than a dollar} 67. {xx E N and 2< x < 6} 68. {xx E N and 2≤x≤6} Practice PLUS In Exercises 69-82, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. proper subsets. 69. The set {1, 2, 3, . . ., 1000} has 21000 70. The set {1, 2, 3, . . ., 10,000} has 210,000 71. {x|xЄ N and 30 < x < 50} 72. {x|xe N and 20 < x <60} 73. {0, {0}} proper subsets. {xlx E N and 30 ≤ x ≤ 50} {x|xe N and 20 < x <60} Copyrig