Set Theory Question

Daniel Kevins

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QUESTION 1

  1. LaTeX: Which:set:builder:notation:represents:the:following:set::lbrace-3,-2,-1,:0,:1,:2rbrace
    a. LaTeX: lbrace x:|:-3:le:x:le2rbrace:
    b. LaTeX: lbrace x:|:-3:<:x:le:2rbrace
    c. LaTeX: lbrace x:|:-3:le:x:<2}
    d. open curly brackets x : space minus 3 less than x less than 2 close curly brackets

5 points

QUESTION 2

  1. LaTeX: A:=:lbrace2,4,6,8,10,12,14,16,18,20rbraceLaTeX: B:=:lbrace10,12,14,16,18rbraceWhich of the following is true?
    a. LaTeX: A:subseteq B
    b. LaTeX: A:cong B
    c. LaTeX: B:subseteq:A
    d. LaTeX: A:=:B

5 points

QUESTION 3

  1. G i v e n : space A space equals space open curly brackets open parentheses minus 2 comma minus 1 close parentheses comma space open parentheses minus 1 comma 0 close parentheses comma space open parentheses 1 comma 8 close parentheses close curly brackets space space space space space space space space space space space space space B space equals space open curly brackets open parentheses minus 3 comma minus 4 close parentheses comma open parentheses minus 2 comma minus 1 close parentheses comma open parentheses minus 1 comma 2 close parentheses comma open parentheses 1 comma 8 close parentheses close curly brackets W h a t space i s space A space intersection space B space ?
    a. open curly brackets open parentheses minus 2 comma minus 1 close parentheses close curly brackets
    b. open curly brackets open parentheses minus 2 comma minus 1 close parentheses comma space open parentheses 1 comma 8 close parentheses close curly brackets
    c. open curly brackets open parentheses 1 comma 8 close parentheses close curly brackets
    d. open curly brackets open parentheses minus 3 comma minus 4 close parentheses comma open parentheses minus 2 comma minus 1 close parentheses comma open parentheses minus 1 comma 2 close parentheses comma open parentheses minus 1 comma 0 close parentheses comma open parentheses 1 comma 8 close parentheses close curly brackets

5 points

QUESTION 4

  1. Which element(s) represents the intersection of sets A, B, and C shown in the diagram below?xid 32601896 1
    a. LaTeX: lbrace3,4,5,6,7rbrace
    b. LaTeX: lbrace2rbrace
    c. LaTeX: lbrace1,2,3,4,5,6,7,8,9rbrace
    d. LaTeX: lbrace2,3,4,5,6,7rbrace

5 points

QUESTION 5

  1. Which of the following statements is always true?
    a. LaTeX: A cap phi =A
    b. LaTeX: A cup A^prime =phi
    c. LaTeX: A cap A^prime = phi
    d. LaTeX: A - B = B - A

5 points

QUESTION 6

  1. In a class of 450 students, 300 are taking a mathematics course and 260 are taking a science
    course. If 140 of these students are taking both courses, how many students are not taking either of
    these courses?
    a. LaTeX: 40
    b. LaTeX: 110
    c. LaTeX: 140
    d. LaTeX: 30

5 points

QUESTION 7

  1. open vertical bar A close vertical bar space equals 18 open vertical bar B close vertical bar space equals 15 open vertical bar A intersection B close vertical bar space equals 12 F i n d : space open vertical bar A union B close vertical bar
    a. LaTeX: 21
    b. LaTeX: 45
    c. LaTeX: 9
    d. LaTeX: 33

5 points

QUESTION 8

  1. LaTeX: A = lbrace 2, 3, 5rbrace LaTeX: B = lbrace 3, 4rbrace Which of the following represents LaTeX: A times B
    a. LaTeX: lbrace 6,8,9,12,15,20rbrace
    b. LaTeX: lbrace (3,2), (4,2), (3,3), (4,3), (3,5), (4,5)rbrace
    c. LaTeX: lbrace (2,3), (2,4), (3,3), (3,4), (5,3), (5,4)rbrace
    d. LaTeX: lbrace 2,3,5,6,9,12,15rbrace

5 points

QUESTION 9

  1. G i v e n : space U space equals space open curly brackets 4 comma 9 comma 16 comma 25 comma 36 comma 49 comma 64 comma 81 comma 100 space close curly brackets space a l l space p e r f e c t space s q u a r e s space f r o m space 4 minus 100 space space space space space space space space space space space space space A space equals space space open curly brackets 16 comma 36 comma 49 comma 64 close curly brackets F i n d : space A with bar on top
    a. A with bar on top equals open curly brackets 4 comma 9 comma 16 comma 25 comma 81 comma 100 close curly brackets
    b. A with bar on top equals open curly brackets 1 comma 4 comma 9 comma 25 comma 81 comma 100 close curly brackets
    c. A with bar on top equals open curly brackets 4 comma 9 comma 25 comma 81 comma 100 close curly brackets
    d. A with bar on top equals open curly brackets 9 comma 25 comma 81 close curly brackets

5 points

QUESTION 10

  1. LaTeX: Given::U:=:lbrace S,O,P,H,I,Arbrace LaTeX: A:=:lbrace A,:I,:OrbraceLaTeX: What:is:A' ?
    a. LaTeX: lbrace A,:H,:Prbrace
    b. LaTeX: lbrace I,:P,:Srbrace
    c. LaTeX: lbrace H,:P,:Srbrace
    d. LaTeX: lbrace O,:P,:Srbrace

5 points

QUESTION 11

  1. LaTeX: Given::A:=:lbrace1,3,5,7,9,11,...:29rbraceW h a t space i s space open vertical bar A close vertical bar space ?
    a. 15
    b. 7
    c. 30
    d. 29

5 points

QUESTION 12

  1. LaTeX: Given: A = lbrace 1,2,3,4,5,6,7,8rbrace LaTeX: B = lbrace 2,4,6,8,10,12rbrace LaTeX: Find: Acap B
    a. LaTeX: lbrace 10,12rbrace
    b. LaTeX: lbrace 2,4,6,8rbrace
    c. LaTeX: lbrace 1,2,3,4,5,6,7,8,10,12rbrace
    d. LaTeX: lbrace 1,3,5,7rbrace

5 points

QUESTION 13

  1. LaTeX: Given::A=lbrace0,2,3,4,9,11rbrace LaTeX: B=lbrace2,3,6,8,9,10rbraceLaTeX: What:is:A:-B?
    a. LaTeX: lbrace6,8,10rbrace
    b. LaTeX: lbrace2,3,9rbrace
    c. LaTeX: lbrace0,2,3,4,8,9,10,11rbrace
    d. LaTeX: lbrace0,4,11rbrace

5 points

QUESTION 14

  1. LaTeX: A=lbrace x:mid:x:in N:and:1<x<25rbrace
    a. LaTeX: A=lbrace1,2,3,4,5,6,:...,:25rbrace
    b. LaTeX: A=lbrace2,3,4,5,6,:...,:25rbrace
    c. LaTeX: A=lbrace2,3,4,5,6,7,:...,:24rbrace
    d. LaTeX: A=lbrace1,2,3,4,5,:...,:24rbrace

5 points

QUESTION 15

  1. LaTeX: Given: A =lbrace 2,4,5,7,8rbrace LaTeX: B = lbrace 3,5,8,9rbrace Find: LaTeX: Acup B
    a. LaTeX: lbrace 5,8rbrace
    b. LaTeX: lbrace 2,3,4,5,7,8,9rbrace
    c. LaTeX: lbrace 5rbrace
    d. LaTeX: lbrace 2,3,4,7,9rbrace

5 points

QUESTION 16

  1. LaTeX: Given::A=lbrace1,3,5,7,9rbrace LaTeX: B=lbrace2,4,6,8,10rbrace LaTeX: C=lbrace2,3,5,7rbrace LaTeX: D=lbrace1,2,3,4,5,6,7,8,9,10rbraceWhich of the following statement is false?
    a. LaTeX: A:cup:C:=:lbrace1,2,3,5,7rbrace
    b. LaTeX: A:cap:B:cap:C:=:lbracerbrace
    c. LaTeX: A:cup:B:cup:C:=D
    d. LaTeX: A:cap:C:=lbrace3,5,7rbrace

5 points

QUESTION 17

  1. LaTeX: A:=lbrace1,3,5,7,9rbraceLaTeX: B:=:lbrace2,4,6,8,10rbraceWhat is LaTeX: A:cap:B:?
    a. LaTeX: lbrace1,3,5,7,9rbrace
    b. LaTeX: lbrace1,2,3,4,5,6,7,8,9,10rbrace
    c. LaTeX: phi
    d. LaTeX: lbrace2,4,6,8,10rbrace

5 points

QUESTION 18

  1. LaTeX: Given::Q=lbrace0,2,4,6rbrace: LaTeX: W=lbrace0,1,2,3rbrace LaTeX: Z=lbrace1,2,3,4rbrace LaTeX: What:is::Q:cap:W:cap:Z:?
    a. LaTeX: lbrace2rbrace
    b. LaTeX: lbrace1,2,3rbrace
    c. LaTeX: lbrace0,1,2,3,4,6rbrace
    d. LaTeX: lbrace0,2rbrace

5 points

QUESTION 19

  1. xid 32601895 1Which region represents the following operation: LaTeX: (B cup C)^prime ?
    a. LaTeX: lbrace 20, 30rbrace
    b. LaTeX: lbrace 10, 50, 65, 60, 70, 75, 85, 90rbrace
    c. LaTeX: lbrace 20, 30, 60, 70, 75, 85, 90rbrace
    d. LaTeX: lbrace 10, 50, 65rbrace

5 points

QUESTION 20

  1. A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are fans of the Buffalo Bills, 27 students are fans of the New York Jets, and 48 students do not like either team. How many of the students surveyed are fans of both the Buffalo Bills and the New York Jets?
    a. LaTeX: 16
    b. LaTeX: 70
    c. LaTeX: 52
    d. LaTeX: 18
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