Deck 2: Sets

Question 1

Identify the set as finite or infinite
The set of people watching fireworks at Miller Park on July 4, 2012 at 9:45 P.M.

A) Infinite
B) Finite

Answer 1

B

Question 2

Determine whether the set is well defined or not well defined.
The set of people who wear expensive clothes

A) not well defined
B) well defined

Answer 2

A

Question 3

Identify the set as finite or infinite
{2, 4, 6, 8, . . .}

A) Infinite
B) Finite

Answer 3

A

Question 4

Identify the set as finite or infinite
The set of natural numbers greater than 100

A) Finite
B) Infinite

Question 5

Identify the set as finite or infinite
The set of even whole numbers less than 100

A) Finite
B) Infinite

Question 6

Determine whether the set is well defined or not well defined.
The set of rivers that flow south to north

A) not well defined
B) well defined

Question 7

Identify the set as finite or infinite
The set of multiples of 5 between 0 and 1000

A) Finite
B) Infinite

Question 8

Identify the set as finite or infinite
{8, 9, 10, . . ., 32}

A) Finite
B) Infinite

Question 9

Determine whether the set is well defined or not well defined.
The set of children in fourth grade at Maple Elementary School that are funny

A) well defined
B) not well defined

Question 10

Determine whether the set is well defined or not well defined.
The set of the best doctors

A) well defined
B) not well defined

Question 11

Determine whether the set is well defined or not well defined.
The set of manufacturers of computers that enjoyed sizeable profits in the second quarter of 2012

A) not well defined
B) well defined

Question 12

Identify the set as finite or infinite
{x|x is a fraction between 14 and 15}

A) Infinite
B) Finite

Question 13

Determine whether the set is well defined or not well defined.
The set of children in fifth grade at Maple Elementary School that are girls

A) not well defined
B) well defined

Question 14

Identify the set as finite or infinite
The set of stars in the Milky Way Galaxy at 12:00 A.M. on January 1, 2012

A) Infinite
B) Finite

Question 15

Determine whether the set is well defined or not well defined.
The set of professional basketball players over the age of 38

A) not well defined
B) well defined

Question 16

Identify the set as finite or infinite
The set of fractions that are less than 1 but greater than 0

A) Finite
B) Infinite

Question 17

Determine whether the set is well defined or not well defined.
The set of U.S. state flags which display depictions of stars

A) well defined
B) not well defined

Question 18

Determine whether the set is well defined or not well defined.
The set of five countries in Europe having the smallest population

A) not well defined
B) well defined

Question 19

Identify the set as finite or infinite

A) Infinite
B) Finite

Question 20

Determine whether the set is well defined or not well defined.
The set of birds nesting in trees at Elm Nature Center on March 20th, 2012

A) well defined
B) not well defined

Question 21

Express the set in roster form.
{x|x is a natural number less than -4}

A) {-3, -2, -1,. . .}
B) {-5, -6, -7, . . .}
C) ∅
D) {. . ., -7, -6, -5}

Question 22

Express the set in roster form.
{x|x is a natural number multiple of 5}

A) {0, 5, 10, 15,. . .}
B) {5, 10, 15, . . .}
C) {10, 15, 20, . . .}
D) ∅

Question 23

Solve the problem.
Use the following graph, which shows the sales of digital music players, in millions, at a national
Electronics retail store for the years 2005-2012. Use the graph to represent the set in roster form.
The set of years included in the graph in which digital music player sales were between 3 million
And 5 million.

A) {2008, 2009}
B) {2008, 2009, 2010}
C) {2007, 2008, 2009}
D) {2009, 2010}

Question 24

Write the set in set-builder notation.
{7}

Question 25

Solve the problem.
Use the following table, which shows the average price for a new beverage that is served at a
Coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
In roster form.
The set of regions in which the average price for the new beverage is more than $5.00.

A) {A, B, C, D}
B) {A, B, C}
C) {E, F, G, H, K, L}
D) {A, B, C, D, E}

Question 26

Solve the problem.
Use the following table, which shows the average price for a new beverage that is served at a
Coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
In roster form.
{x|x is a region in which the average price of the new beverage is at least $6.00}

A) {A, B}
B) {A, B, C}
C) {D, E, F, G, H, K, L}
D) {A, B, C, D}

Question 27

Solve the problem.
Use the following graph which shows the number of customer service calls to a major appliance
Manufacturer, in millions, for the years 2006-2012. Use the graph to represent the set in roster
Form.
The set of years in which the number of customer service calls exceeded 1.1 million.

A) {2009, 2012}
B) {2006, 2007, 2008, 2010, 2011}
C) {2006, 2007, 2008, 2009, 2010, 2011}
D) {2006, 2007, 2008, 2011}

Question 28

Express the set in roster form.
{x|x is a whole number between 6 and 10}

A) {6, 7, 8, 9, 10}
B) {7, 8, 9}
C) {6, 7, 8, 9}
D) {7, 8, 9, 10}

Question 29

Express the set in roster form.
The set of the days of the week

A) {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
B) {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Sunday}
C) {Saturday, Sunday}
D) {Tuesday, Thursday}

Question 30

Express the set in roster form.
The set of seasons in a year

A) {winter, spring, summer, fall}
B) {January, March, June, September}
C) {cold, warm, hot, cool}
D) {winter, summer}

Question 31

Solve the problem.
Use the following table, which shows the average price for a new beverage that is served at a
Coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
In roster form.
The set of regions in which the average price for the new beverage is less than $3.50.

A) {H, K, L}
B) {F, G, H, K, L}
C) {G, H, K, L}
D) {A, B, C, D, E, F}

Question 32

Express the set in roster form.
{x|x is an integer greater than -6}

A) {-5, -4, -3, . . .}
B) {-7, -8, -9}
C) {-7, -8, -9, . . .}
D) {-5, -4, -3, -2}

Question 33

Express the set in roster form.
The set of integers greater than -8 and less than -4

A) {-8, -7, -6, -5}
B) {-7, -6, -5, -4}
C) {-7, -6, -5}
D) {-8, -7, -6, -5, -4}

Question 34

Express the set in roster form.
{x|x is an integer between -2 and 2}

A) {-1, 0, 1}
B) {-1, 0, 1, 2}
C) {-2, -1, 0, 1, 2}
D) {-2, -1, 0, 1}

Question 35

Solve the problem.
Use the following graph which shows the number of customer service calls to a major appliance
Manufacturer, in millions, for the years 2006-2012. Use the graph to represent the set in roster
Form.
The set of years in which the number of customer service calls were below 1.1 million.

A) {2009, 2010, 2012}
B) {2009, 2012}
C) {2008, 2009, 2012}
D) {2012}

Question 36

Express the set in roster form.
{x|x is a negative multiple of 4}

A) {0, -4, -8, . . .}
B) {4, 8, 12, . . .}
C) {-4, -8, -12, . . .}
D) {-4, -16, -64, . . .}

Question 37

Solve the problem.
Use the following graph, which shows the sales of digital music players, in millions, at a national
Electronics retail store for the years 2005-2012. Use the graph to represent the set in roster form.
The set of years included in the graph in which digital music player sales were more than 18
Million.

A) {2005, 2006, 2007, 2008, 2009, 2010, 2011}
B) {0}
C) { }
D) {2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012}

Question 38

Solve the problem.
Use the following table, which shows the average price for a new beverage that is served at a
Coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
In roster form.
{x|x is a region in which the average price of the new beverage is at most $6.00}

A) {D, E, F, G, H, K, L}
B) {A, B, C}
C) {E, F, G, H, K, L}
D) {A, B, C, D}

Question 39

Solve the problem.
Use the following table, which shows the average price for a new beverage that is served at a
Coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set
In roster form.
The set of regions in which the average price for the new beverage is between $3.00 and $4.99.

A) {A, B, C, D, H, K, L}
B) {E, F, G}
C) {H, K, L}
D) {E, F, G, H}

Question 40

Express the set in roster form.
The set of all whole numbers greater than 2 and less than 6

A) {2, 3, 4, 5}
B) {2, 3, 4, 5, 6}
C) {3, 4, 5, 6}
D) {3, 4, 5}

Question 41

Write the set in set-builder notation.
{48, 54, 60, 66,..., 108}

A) {x | x is a multiple of 6 between 48 and 108}
B) {x | x is a multiple of 6 greater than 48}
C) {x | x is a multiple of 6}
D) {x | x is a multiple of 6 between 42 and 114}

Question 42

Tell whether the statement is true or false. If false, give the reason.
11 ∈ {22, 33, 44, 55, 66}

A) False; 11 is a set.
B) False; 11 is a factor of the elements.
C) False; 11 is not an element of the set.
D) True

Question 43

Write a description of the set.
E = {x | x ∈ N and 2 < x ≤ 19}

A) E is the set of integers greater than 2 and less than or equal to 19.
B) E is the set of natural numbers greater than or equal to 2 and less than 19.
C) E is the set of natural numbers greater than 19 and less than or equal to 2.
D) E is the set of natural numbers greater than 2 and less than or equal to 19.

Question 44

Write a description of the set.
E = {x x ∈ I and -3 < x ≤ 5}

A) E is the set of integers greater than -3 and less than or equal to 5.
B) E is the set of natural numbers greater than or equal to -3 and less than 5.
C) E is the set of integers greater than or equal to -3 and less than 5.
D) E is the set of natural numbers greater than -3 and less than or equal to 5.

Question 45

Write the set in set-builder notation.
{2, 4, 6, 8}

Question 46

Tell whether the statement is true or false. If false, give the reason.
{3, 15, 28, 11, 37} = {37, 15, 11, 82, 3}

A) False; the elements are not the same.
B) False; the elements must have the same sum.
C) False; the elements are not in the same order.
D) True

Question 47

Write the set in set-builder notation.
The odd natural numbers less than 43

A) {x∣x ∈ N ≤ 41 and x is odd}
B) {x∣x ∈ N < 43}
C) {x∣x ∈ N < 42}
D) {x∣x ∈ N ≤ 43 and x is odd}

Question 48

Write a description of the set.
D = {January, February, March, April, May, June, July, August, . . .}

A) Set D is the set of time zones in America.
B) Set D is the set of the months in a year.
C) Set D is the set of seasons.
D) Set D is the set of days in a week.

Question 49

Tell whether the statement is true or false. If false, give the reason.
16 ∉ {15, 13, 12, . . ., 1}

Question 50

Tell whether the statement is true or false. If false, give the reason.
{x|x is a counting number greater than 37} = {37, 38, 39, . . .}

Question 51

Write the set in set-builder notation.
The set of all cars owned by students

A) {x is a car}
B) {x | x is a car owned by a student}
C) {x | x is a student with a car}
D) {x is a student with a car}

Question 52

Write the set in set-builder notation.
The set of all calculus books

A) {x | x is a calculus book}
B) {a calculus book}
C) {any calculus book}
D) {x is a calculus book}

Question 53

Tell whether the statement is true or false. If false, give the reason.
{54, 55, 54, 55} = {54, 55}

A) False; the elements cannot be repeated.
B) False; the elements are not equal.
C) True
D) False; there must be the same number of elements.

Question 54

Tell whether the statement is true or false. If false, give the reason.
{6} = {x|x is an even counting number between 8 and 14}

A) False; 6 is less than 14
B) False; 6 is a set, and not an element of the set.
C) False; 6 is less than 8
D) True

Question 55

Write a description of the set.
D = {-2, -1, 0, 1, 2, 3, 4, . . .}

A) Set D is the set of natural numbers greater than or equal to -2.
B) Set D is the set of integers greater than or equal to -2.
C) Set D is the set of integers.
D) Set D is the set of natural numbers.

Question 56

Write a description of the set.
S = {Monday, Tuesday, Wednesday, Thursday, Friday}

A) Set S is the set of months in a year.
B) Set S is the set of all the days in a week.
C) Set S is the set of days in a month.
D) Set S is the set of the five business days in a week.

Question 57

Tell whether the statement is true or false. If false, give the reason.
{3, 7, 15} = {0, 3, 7, 15}

A) True
B) False; 0 is not a valid member of a set.
C) False; 0 must be an element of both sets.
D) False; each set must have 4 elements.

Question 58

Write a description of the set.
S = {4, 8, 12, 16, 20, . . .}

A) Set S is the set of natural numbers that are multiples of 4.
B) Set S is the set of integers that are greater than or equal to 4.
C) Set S is the set of integers.
D) Set S is the set of natural numbers greater than or equal to 4.

Question 59

Write the set in set-builder notation.
{16, 17, 18, 19}

A) {x | x is an integer between 16 and 19}
B) {x | x is an integer less than 20}
C) {16, 17, 18, 19}
D) {x | x is an integer between 15 and 20}

Question 60

Write a description of the set.
V = {rose, daffodil, tulip, lily, orchid, . . .}

A) Set V is the set of types of trees.
B) Set V is the set of colors.
C) Set V is the set of types of flowers.
D) Set V is the set of types of fruit.

Question 61

Determine whether the number used is a cardinal or an ordinal number.
The prize in the raffle is five hundred dollars.

A) Ordinal
B) Cardinal

Question 62

Determine whether the sets are equal, equivalent, both, or neither.
{5, 13} and {51, 3}

A) Equal
B) Neither
C) Both
D) Equivalent

Question 63

Tell whether the statement is true or false. If false, give the reason.
15 ∉ {x|x is an even counting number}

A) False; 15 is a counting number.
B) False; 15 is an even counting number.
C) False; 15 is an element of the set.
D) True

Question 64

Determine whether the number used is a cardinal or an ordinal number.
The baby gained four ounces since his last check-up.

A) Ordinal
B) Cardinal

Question 65

Determine whether the number used is a cardinal or an ordinal number.
The physician prescribed five different types of pills for Aunt Martha.

A) Cardinal
B) Ordinal

Question 66

Determine whether the number used is a cardinal or an ordinal number.
The novel has 594 pages.

A) Cardinal
B) Ordinal

Question 67

Tell whether the statement is true or false. If false, give the reason.
A = {x | x is a second in a minute}

A) n(A) = Infinite
B) n(A) = 120
C) n(A) = 12
D) n(A) = 60

Question 68

Tell whether the statement is true or false. If false, give the reason.
A = {x∣x ∈ N and 10 ≤ x ≤ 25}

A) n(A) = 16
B) n(A) = 14
C) n(A) = 35
D) n(A) = 36

Question 69

Determine whether the sets are equal, equivalent, both, or neither.
{2, 41, 14} and {41, 14, 2}

A) Equivalent
B) Neither
C) Both
D) Equal

Question 70

Determine whether the sets are equal, equivalent, both, or neither.
{L, M, N, O} and {l, m, n, o}

A) Neither
B) Equal
C) Equivalent
D) Both

Question 71

Tell whether the statement is true or false. If false, give the reason.
A = {0, 2, 4, 6, 8}

A) n(A) = 4
B) n(A) = 5
C) n(A) = 2
D) n(A) = 8

Question 72

Determine whether the number used is a cardinal or an ordinal number.
Max placed fourteenth in the cross country race.

A) Ordinal
B) Cardinal

Question 73

Tell whether the statement is true or false. If false, give the reason.
A = {800, 801, 802, . . ., 8000}

A) n(A) = 7200
B) n(A) = 7201
C) n(A) = 8000
D) n(A) = 4

Question 74

Tell whether the statement is true or false. If false, give the reason.
A = {x | x is a month in the year}

A) n(A) = 24
B) n(A) = 52
C) n(A) = 1
D) n(A) = 12

Question 75

Tell whether the statement is true or false. If false, give the reason.
A = {x | x is a number on a clock face}

A) n(A) = 12
B) n(A) = 3
C) n(A) = 24
D) n(A) = 6

Question 76

Determine whether the sets are equal, equivalent, both, or neither.
{4, 15} and {4, 1, 5}

A) Both
B) Equal
C) Neither
D) Equivalent

Question 77

Determine whether the sets are equal, equivalent, both, or neither.
{x | x is a whole number} and {x | x is an integer}

A) Both
B) Equivalent
C) Equal
D) Neither

Question 78

Determine whether the sets are equal, equivalent, both, or neither.
{first, second, third} and {1, 2, 3}

A) Equal
B) Both
C) Neither
D) Equivalent

Question 79

Determine whether the sets are equal, equivalent, both, or neither.
{1/10, 2/10, 3/10} and {0.1, 0.2, 0.3}

A) Both
B) Neither
C) Equal
D) Equivalent

Question 80

Determine whether the sets are equal, equivalent, both, or neither.
{brake} and {break}

A) Equivalent
B) Neither
C) Equal
D) Both