WrittenAssignment4_MAT-105_RaymondMilek

WrittenAssignment4_MAT-105_RaymondMilek - Name: Raymond...

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Name: Raymond Milek Student ID: 0483682 Thomas Edison State College Applied Liberal Arts Mathematics (MAT-105) Section no.: 2.1-2.3, 3.1-3.2, 12.1-12.2, 12.8 Semester and year: October, 2011 Written Assignment 4 Section 2.1 16. Determine whether the set is well defined. The set of the four states in the United States having the largest areas Answer: Yes. The set is well defined because the four states in the U.S. that have the largest areas can be only those four states. 28. Express the set in roster form. { | 6 10} C x x = + = Answer: C = {4} 44. Express the set in set-builder notation. {1,2,3,4,5,6,7,8,9} A = Answer: A = { x N and } 9 68. State whether the statement is true or false. If false, give the reason. { , , , , , } b a b c d e f Answer: True. b is an element in this set. 80. Determine whether the pair of sets is equal, equivalent, both, or neither. {7,9,10}, { , , } A B a b c = = Answer: The sets are equivalent because they contain the same cardinality. 1
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Section 2.2 12. Answer true or false. If false, give the reason. {engineer, social worker} {physician, attorney, engineer, teacher} Answer: False. Social worker is not an element of the second set, so the first set is not a subset of the second. 28. Determine whether A = B, A B, B A, A B, B A, or none of these. (There may be more than one answer.) {1,3,5,7,9} {3,9,5,7,6} A B = = Answer: None of these. 52. Salad Toppings Donald Wheeler is ordering a salad at a Ruby Tuesday restaurant. He can purchase a salad consisting of just lettuce, or he can add any of the following items: cucumber, onion, tomato, carrot, green pepper, olive, mushroom. How many different variations of a salad are possible? Answer: 7 possible items. 2 7 = 128 different variations or 129 if you include the plain, lettuce salad. Section 2.3 34. Use the Venn diagram to list the set of elements in roster form. B Answer: B = {f, r, d, g, h, a} 2
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36. Use the Venn diagram to list the set of elements in roster form. U Answer: U = {w, c, b, t, a, h, f, r, d, g, p, m, z} 50. Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 4, 5, 8}, and B = {2, 3, 4, 6}. Determine the following. A
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WrittenAssignment4_MAT-105_RaymondMilek - Name: Raymond...

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