Question 1

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

Accepted Answer

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

Question 2

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

Accepted Answer

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. 
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 3

Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$\{ x \mid x \in N$ and $x > 8 \} ........ \{ x \mid x \in N$ and $3 < x \leq 8 \}$

Accepted Answer

A)  $\subseteq$ and $\subset$ 
B)  $\subseteq$ 
C)  $\subset$ 
D)  $\nsubseteq$ 
A)  $\subseteq$ and $\subset$ 
B)  $\subseteq$ 
C)  $\subset$ 
D)  $\nsubseteq$

Question 4

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $ C \not = \varnothing $,and $ C \subset U$.
-$$\mathrm { C } \subseteq \mathrm { U }$$

Accepted Answer

A) True 
 B)False

Question 5

For the given sets, construct a Venn diagram and place the elements in the proper region.
-Let $ U=\{1,2,3,4,5,6,7,8\} $
$ \mathrm{A}=\{3,6,8\} $
$
\begin{array}{l}
B=\{4,6\} \
C=\{1,6,7,8\}
\end{array}
$

Accepted Answer

A) 
  
B) 
  
A) 
  
B)

Question 6

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

Accepted Answer

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

Question 7

Find n(A) for the set.
-A = {0, 2, 4, 6, 8}

Accepted Answer

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

Question 8

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.
-{5} ⊆ D

Accepted Answer

A)  True 
B)  False; 5 is not an element of D. 
C)  False; 5 is not a subset of D. 
D)  False; 5 is an element of the set, not a subset. 
A)  True 
B)  False; 5 is not an element of D. 
C)  False; 5 is not a subset of D. 
D)  False; 5 is an element of the set, not a subset.

Question 9

Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$\{ a , b \}$ _____ $\{ z , a , y , b , x , c \}$

Accepted Answer

A)   $\nsubseteq$ 
B) $\subset$ 
C)  $\subset$ and $\subseteq$ 
D)  $\subseteq$ 
A)   $\nsubseteq$ 
B) $\subset$ 
C)  $\subset$ and $\subseteq$ 
D)  $\subseteq$

Question 10

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

Accepted Answer

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} 
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 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

A)  $\{ x \mid x$ is the natural number $7 \}$ 
B)  $\{ x$ is a constant $\}$ 
C)  $\{ x \}$ 
D)  $\{ x \mid x$ is a natural number $\}$ 
A)  $\{ x \mid x$ is the natural number $7 \}$ 
B)  $\{ x$ is a constant $\}$ 
C)  $\{ x \}$ 
D)  $\{ x \mid x$ is a natural number $\}$

Question 15

Determine whether the number used is a cardinal or an ordinal number.
-The math assignment is on page 594.

Accepted Answer

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

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.
-D ⊆ B

Accepted Answer

A)  False; the sets must have the same number of elements. 
B)  False; the elements are not the same. 
C)  False; the elements are the same. 
D)  True 
A)  False; the sets must have the same number of elements. 
B)  False; the elements are not the same. 
C)  False; the elements are the same. 
D)  True

Question 17

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, . . .}

Accepted Answer

A)  False; 37 is less than any element in the set. 
B)  True 
C)  False; 37 is not greater than 37. 
D)  False; 37 is not a counting number. 
A)  False; 37 is less than any element in the set. 
B)  True 
C)  False; 37 is not greater than 37. 
D)  False; 37 is not a counting number.

Question 18

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. $$\begin{array} { c | r } 
\text { Region } & \text { Price } \
\hline \mathrm { A } & \$ 7.92 \
\mathrm {~B} & \$ 6.62 \
\mathrm { C } & \$ 6.15 \
\mathrm { D } & \$ 5.81 \
\mathrm { E } & \$ 4.84 \
\mathrm {~F} & \$ 3.82 \
\mathrm { G } & \$ 3.16 \
\mathrm { H } & \$ 2.56 \
\mathrm {~K} & \$ 2.02 \
\mathrm {~L} & \$ 1.50
\end{array}$$
{x|x is a region in which the average price of the new beverage is at least $6.00}

Accepted Answer

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

Question 19

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

Accepted Answer

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 
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 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

Accepted Answer

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

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

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

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\{ x \mid x \in N$ and $x > 8 \} ........ \{ x \mid x \in N$ and $3 < x \leq 8 \}$

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\mathrm { C } \subseteq \mathrm { U }$

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

Find n(A) for the set. -A = {0, 2, 4, 6, 8}

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. -{5} ⊆ D

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\{ a , b \}$ _____ $\{ z , a , y , b , x , c \}$

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

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

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

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

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

Determine whether the number used is a cardinal or an ordinal number. -The math assignment is on page 594.

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. -D ⊆ B

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, . . .}

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

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

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

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

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

Use ⊆,⊈,⊂ \subseteq, \nsubseteq, \subset ⊆,⊈,⊂ , or both ⊂ \subset ⊂ and ⊆ \subseteq⊆ to make a true statement. - {x∣x∈N\{ x \mid x \in N{x∣x∈N and x>8}........{x∣x∈Nx > 8 \} ........ \{ x \mid x \in Nx>8}........{x∣x∈N and 3<x≤8}3 < x \leq 8 \}3<x≤8}

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that C≠∅ C \not = \varnothing C=∅ ,and C⊂U C \subset UC⊂U . - C⊆U\mathrm { C } \subseteq \mathrm { U }C⊆U

For the given sets, construct a Venn diagram and place the elements in the proper region. -Let U={1,2,3,4,5,6,7,8} U=\{1,2,3,4,5,6,7,8\} U={1,2,3,4,5,6,7,8} A={3,6,8} \mathrm{A}=\{3,6,8\} A={3,6,8} B=\{4,6\} C=\{1,6,7,8\}

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

Find n(A) for the set. -A = {0, 2, 4, 6, 8}

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. -{5} ⊆ D

Use ⊆,⊈,⊂ \subseteq, \nsubseteq, \subset ⊆,⊈,⊂ , or both ⊂ \subset ⊂ and ⊆ \subseteq⊆ to make a true statement. - {a,b}\{ a , b \}{a,b} _____ {z,a,y,b,x,c}\{ z , a , y , b , x , c \}{z,a,y,b,x,c}

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

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

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

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

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

Determine whether the number used is a cardinal or an ordinal number. -The math assignment is on page 594.

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. -D ⊆ B

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, . . .}

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

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

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

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\{ x \mid x \in N$ and $x > 8 \} ........ \{ x \mid x \in N$ and $3 < x \leq 8 \}$

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\mathrm { C } \subseteq \mathrm { U }$

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\{ a , b \}$ _____ $\{ z , a , y , b , x , c \}$