Question 1

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

Accepted Answer

A)  False; 16 is an element of the set. 
B)  True 
C)  False; 16 is smaller than the elements of the set. 
D)  False; 16 is a set. 
A)  False; 16 is an element of the set. 
B)  True 
C)  False; 16 is smaller than the elements of the set. 
D)  False; 16 is a set.

Question 2

List all subsets or determine the number of subsets as requested.
-Determine the number of subsets of {0}

Accepted Answer

A)  1 
B)  0 
C)  2 
D)  4 
A)  1 
B)  0 
C)  2 
D)  4

Question 3

List all subsets or determine the number of subsets as requested.
-At MegaSalad, a salad can be ordered with some, all, or none of the following set of ingredients on Top of the salad greens: {ham, turkey, chicken, tomato, feta cheese, cheddar cheese, cucumbers, Onions, red peppers, hot peppers }. How many different variations are there for ordering a salad?

Accepted Answer

A)  1012 
B)  2048 
C)  512 
D)  1024 
A)  1012 
B)  2048 
C)  512 
D)  1024

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

A)  Infinite 
B)  Finite 
A)  Infinite 
B)  Finite

Question 6

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

Accepted Answer

A)  not well defined 
B)  well defined 
A)  not well defined 
B)  well defined

Question 7

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

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

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

Accepted Answer

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. 
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 10

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

Accepted Answer

A)  well defined 
B)  not well defined 
A)  well defined 
B)  not well defined

Question 11

List all subsets or determine the number of subsets as requested.
-Determine the number of subsets of {mom, dad, son, daughter}

Accepted Answer

A)  16 
B)  14 
C)  8 
D)  12 
A)  16 
B)  14 
C)  8 
D)  12

Question 12

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

Accepted Answer

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 
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 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

A)  well defined 
B)  not well defined 
A)  well defined 
B)  not well defined

Question 15

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

Accepted Answer

A)  Cardinal 
B)  Ordinal 
A)  Cardinal 
B)  Ordinal

Question 16

Let A = {1, 3, 5, 7}
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}.
Determine whether the statement is true or false.
-{ } ⊂ C

Accepted Answer

A)  True 
B)  False; the empty set is not a subset of U. 
C)  False; the empty set is not a subset of any set. 
D)  False; the elements in the empty set are not the same elements as in U. 
A)  True 
B)  False; the empty set is not a subset of U. 
C)  False; the empty set is not a subset of any set. 
D)  False; the elements in the empty set are not the same elements as in U.

Question 17

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}

Accepted Answer

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 
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 18

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

Accepted Answer

A)  Infinite 
B)  Finite 
A)  Infinite 
B)  Finite

Question 19

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

Accepted Answer

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} 
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 20

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

Accepted Answer

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

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

List all subsets or determine the number of subsets as requested. -Determine the number of subsets of {0}

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

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

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

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

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

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

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

List all subsets or determine the number of subsets as requested. -Determine the number of subsets of {mom, dad, son, daughter}

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

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

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

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

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. -{ } ⊂ C

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}

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

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

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

Critical Thinking Skills

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Exam 2: Sets