please answer questions near each attachment

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please answer number 90

please answers numbers 2,4,6,7,10,14,20,22,24,26,30,40,42,44,53,58,64,70,73

please answer numbers 76,78,81,82,84,86,90,92,94,98,106,110

please answer numbers 30,34,36,40,42,48,50,52


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In E called - the resulting statement is true. ia, Colorado Connecticut} is expressed method. The set {xx is a U.S. state whose ne letter C} is expressed using 5. The number of the number is represented by 6. Two sets that contain the same number of elements are sets. 7. Two sets that contain the same elements are called sets. 70 elements is called the null set or the et is represented by { } or to indicate that an object 67. A {17 68. A= 69. B = { 70. B = 71. C= 72. C- lette 73. D = 75. A = 76. A = 77. B 78. B = 79. C 80. C = In Exercise Ai a. b. A 81. A is th majori 82. A is ti people States. 83. A = B 29. {x|x€N and 10 < x < 80} 30. {x|XEN and 15 < x < 60} hich collections are not well defined 32. {x|x + 3 = 9} 31. {x|x + 5 = 7} idents In Exercises 33-46, determine which sets are the empty set. 34. {0,Ø} and full-time students currently 33. {0,0} 35. {x|x is a woman who served as U.S. president before orst U.S. presidents 2016} -time students currently enrolled 36. {x/x is a living U.S. president born before 1200} 37. {x|x is the number of women who served as U.S. president numbers greater than one before 2016} 38. {x|x is the number of living U.S. presidents born before natural numbers greater 1200) 39. {x|x is a U.S. state whose name begins with the letter X} cription of each set. (More than 40. {x|x is a month of the year whose name begins with the ible) letter X} rs, Jupiter, Saturn, Uranus, 41. xx < 2 and x > 5} 42. {x|x < 3 and x > 7} {January, June, July 43. X|XEN and 2 50} 110. {x|x is a country in which 7.6% = percentage having used 93. {x|XEN and x = 1,000,000} marijuana < 9%} 94. {x|x€N and x = 2,000,000} 111. {x|x is a country in which the percentage having used marijuana > 22.2%} 95. The set of natural numbers less than 1 112. {x|x is a country in which the percentage having used 96. The set of natural numbers less than 0 marijuana > 22.2%} 7.4 New Zealand Australia United States United Kingdom Switzerland Ireland Spain Canada к H aps Lock Shift V BINM z Xc Ctrl Alt Alt 68 CHAPTER 2 Set Theory 76. {Ø}e{Ø,{0}} Exercise Set 2.2 77. If A C Band de A, then d 78. If ASB and BCC, then 79. If set A is equivalent n(A) = No. А Application Exercises 34. A = {x|x€N and 3 < x < 10} B = {x|XEN and 2 sxs 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. { } We opened this section citin shows the percentage of tatto In Exercises 41-54, determine whether each statement is true or false. If the statement is false, explain why. Source: Harris Interactiv Practice Exercises In Exercises 1-18, write C 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} {-3,-1,1.3} 4. {-4, 0,4} {-4, -3, -1,1,3,4} 5. Monday, Friday} {Saturday, Sunday, Monday, Tuesday, Wednesday} 6. {Mercury, Venus, Earth} {Venus, Earth, Mars, Jupiter} 7. {x/x is a cat} {x/x is a black cat} 8. {x/x is a dog} {xxlx is a pure-bred 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, 1, u, t, i, o, n} {t, 0, 1, 0, v, e, r, u, i, n} 11. {3} {2,} 12. {1,5} {2,3,5} 13. Ø {2, 4, 6} 14. Ø {1,3,5} 15. {2, 4, 6} 16. {1,3,5} 17. { } 18. Ø In Exercises 19-40, determine whether C, C, both, or neither can be placed in each blank to form a true statement. 19. {V, CR} {V, C, R, S} 20. {F, I, N} {F, I, N, K} 21. {0, 2, 4, 6, 8} {8,0, 6, 2,4} 22. {9, 1, 7,3,4} {1,3,4,7,9} 23. {x/x is a man} {x|x is a woman 24. {xx/x is a woman} {x|x is a man} 25. {x|x is a man} {x|x is a person 26. {x|x is a woman} {x|x is a person} 27. {x|x is a man or a woman} {x|x is a person) 28. {.x/x is a woman or a man} {x|x is a person 29. A = = {x|XEN and 5 < x < 12} B = the set of natural numbers between 5 and 12 Sets and subsets allo party affiliation. Th. based on the numb T = th 41. Ralph = {Ralph, Alice, Trixie, Norton} 42. Canada e {Mexico, United States, Canada) 43. Ralph C {Ralph, Alice, Trixie, Norton) 44. Canada C {Mexico, United States, Canada} 45. {Ralph} S {Ralph, Alice, Trixie, Norton} 46. {Canada} C {Mexico, United States, Canada) 47. Øe{Archie, Edith, Mike, Gloria} 48. Ø ${Charlie Chaplin, Groucho Marx, Woody Allen} 49. {5} c{{5}, {9}} 50. {1} c{{1}, {3}} 51. {1,4} & {4,1} 52. {1,4} & {4,1} 53. 0€ 54. {0} € In Exercises 55-60, list all the subsets of the given set. 55. {border collie, poodle} 56. {Romeo, Juliet} 57. {t, a, b} 58. {I, II, III) 59. {0} 60. Ø In Exercises 61-68, calculate the number of distinct subsets and the number of distinct proper subsets for each set. 61. {2,4,6,8} 62. {1,3,4,5) 63. {2, 4, 6, 8, 10, 12} 64. {a, b, c, d, e, f} 65. {x|x is a day of the week} 66. {x|x is a U.S. coin worth less than a dollar} 67. {x|XEN and 2 < x < 6} 68. {x|x€N and 2 < x < 6} R = t D=t M = W = А A B 30. A = {x|XEN and 3 < x < 10} B = the set of natural numbers between 3 and 10 А B 31. A = {x/XEN and 5 < x < 12} B = the set of natural numbers between 3 and 17 A B 32. A = {x|XEN and 3 < x < 10} B = the set of natural numbers between 2 and 16 A B 33. A = {x|XEN and 5 < x < 12} B = {x|x€N and 2 < x < 11} А. B 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. 69. The set {1, 2, 3, ..., 1000} has 21000 proper subsets. 70. The set {1, 2, 3, ..., 10,000} has 210,000 proper subsets. 71. {x|x€N and 30 < x < 50} ({x|x€N and 30 < x < 50} 72. {x|x€N and 20 < x < 60}&{x|x€N and 20 < x < 60} 73. Ø¢{Ø,{@}} 74. {@} & {0,{0}} 75. Øc{Ỡ,{8}} In Exercises 8 false. If the se produce a true 83. DET 85. MC T 87. If x ED 89. If xer 90. If xe 91. The se 92. The set 93. Hou can opt ala the 94. A fo P ( 78. If ACB and BCC, then ACC. If set A is equivalent to the set of natural numbers, then NA) 79. 81. The set of subsets of {a, e, i, o, u} contains 64 elements. 82. The set of subsets of {a,b,c, d, e, f} contains 128 elements. No Application Exercises We opened this section citing a 2012 Harris poll that estimated 45 million Americans have at least one tattoo. The bar graph on the left shows the percentage of tattooed Americans, by party affiliation and gender. Percentage of Tattooed Americans, by Party Affiliation and Gender 30% 20% Percent of Anton Aus Number of Tattooed Americans per 10,000 Adults, by Party Affiliation and Gender 315 Men 699 Democrats → 384 Womer 1890 Tattooed 238 Men Americans 529 Republicans → 291 Wome per 10,000 Adults 298 Men 662 Independents 364Won 15% ton Democrat Republic Independent fence All Adults By Party Affiliation By Gender Source: Harris Interactive Sets and subsets allow us to order and structure the data. On the right, the set of tattooed Americans is divided into subsets cate party affiliation. These subsets are further broken down into subsets categorized by gender. All numbers in the branching treed based on the number of people per 10,000 American adults. Based on the tree diagram, let T= the set of tattooed Americans 95. Based on more than 1500 ballots sent to film R the set of tattooed Republicans American Film Institute rated the top U.S. D the set of tattooed Democrats Institute selected Citizen Kane (1941), The God M the set of tattooed Democratic men Casablanca (1942), Raging Bull (1980), Singi (1952), and Gone with the Wind (1939) as th W the set of tattooed Democratic women. Suppose that you have all six films on DVD view some, all, or none of these films. How In Exercises 83-92, determine whether each statement is true or options do you have? false. If the statement is false, make the necessary change(s) to 96. A small town has four police cars. If a produce a true statement. receives a call, depending on the nature o 83. DET 84. RET cars, one car, two cars, three cars, or all fou 85. MCT 86. WCT How many options does the dispatcher h- 87. If xe D. then xeW. 88. If xe, then xe M. police cars to the scene of the caller? 97. According to the U.S. Census Bureau, 89. If XeR, thenx & D. diverse U.S. cities are New York City, 90. If xe D. then x € R. Chicago, Washington, D.C., Houston, S: 91. The set of elements in M and W combined is equal to set D. If you decide to visit some, all, or nor 92. The set of elements in M and W combined is equivalent to many travel options do you have? 98. Some of the movies with all-time- include 93. Houses in Euclid Estates are all identical. However, a person can purchase a new house with some, all, or none of a set of Avatar ($761 million), The Avengers options. This set includes { pool, screened-in balcony, lake view, Titanic ($601 million), The Dark K alarm system, upgraded landscaping). How many options are Star Wars ($461 million), Shrek 2 there for purchasing a house in this community? E.T. the Extra Terrestrial ($435 millic 94. A cheese pizza can be ordered with some, all, or none of the following set of toppings: {beef, ham, mushrooms, sausage, Suppose that you have all seven over the course of a week, to vie peppers, pepperoni, olives, prosciutto, onion). How many films. How many viewing option different variations are available for ordering a pizza? set D.
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