Assignment 21

course Mth 151

Please let me know if I have sent this correctly. Thanks.

Valerie MorphewMath 151

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

Section 2.1

3. E

5. B

6. D

9. {1,2,3,4,5,6}

10. {9,10,11,12,13,14,15,16,17}

12. {5,6,7,8,9,10,11,12,13}

15. {-15,-13,-11,-9,-7,-5,-3,-1}

18. {90.87,84,81,78,75,72,69}

20. {-7,-5,-3,-1,1,3,5}

21. {21,22,23,24,25…}

24. {Nixon, Ford, Carter, Reagan, Bush, Clinton}

25. {5, 10, 15,20, 25…}

27. {1, ½, 1/3, ¼, 1/5, 1/6…}

30. {x|x is the set of all even natural numbers}

{x|x is 2,4,6,8,10…}

33. finite

35. infinite

36. infinite

39. infinite

40. finite

42. 7

45. 26

48. 100

50. 18

51. x can be any variable that represents an element.

54. well defined

55. not well defined

57. not well defined

60. E

63. E

65. E

66. E

69. False

70. False

72. True

75. True

78. False

80. False

81. True

84. True

85. False

87. True

90. If you are given a set and a certain element, you need to be able to tell if the element given belongs to that particular set. This would mean that the set is well defined. You can look at the set and tell that a particular element is a member.

An example of a well defined set would be:

N = {1,3,5,7,9,11,13}

q = 9

q E N

A set that is not well defined uses words that are questionable or vague. It would rely on the viewer’s discretion as to whether or not the element is a member of that set.

An example of a set that is not well defined would be:

If you are presented with the set “B” of all brown dogs and you are shown a dog “Fred” who looks more black than brown, you cannot really determine what shades of fur actually are brown. Therefore, Fred is not an element of set “B”.

95. a) {GE, PFE, NT, LU}

b) {GE, MOT, TWX, C, TXN, EMC, AWE}

96. a) 3 chocolate bars = 660 calories (3*220=660 calories)

{R} = 680 calories {R,G} = 940 calories

{R,V} = 840 calories {S.C} = 750 calories

{R.S} = 1090 calories {S,G} = 670 calories

{R.C} = 1020 calories

b) 5 chocolate bars = 1100 calories (5*220=1100 calories)

{R,C,V} = 1180 calories

{R,S,V} = 1250 calories

{R,C,G} = 1280 calories

{R,S,C} = 1430 calories

{R,G,V} = 1100 calories

{R,S,G} = 1350 calories

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You appear to be doing fine here, but you are not asked to submit your work in this format. You need to run the Query program, which will ask you detailed questions about selected problems in the assignment.

You may of course ask questions about anything in the assignment.

&#You are always welcome to ask self-contained questions about anything. By self-contained questions I mean a question that includes a brief statement of the problem or topic you are asking about (in order to give everyone the best responses I can, I can't take time to look problems up in the text, which I don't carry with me in any case), and a statement of precisely what you do and do not understand about the situation. If it's a problem, you should include a list of things you have tried in attempting to solve (or to understand) the problem. Depending on the problem this might include a description of any diagrams, listings of concepts and topics you think might be helpful, and other relevant information.

This can be relatively brief, but the more you can tell me, the more you will learn in the process, and the more specifically I can address my response. &#