Question 1

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

Accepted Answer

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

Question 2

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$.
-$\varnothing \subseteq A$

Accepted Answer

A) True 
 B)False  True

Question 3

Find n(A) for the set.
-A = {x | x is a number on a clock face}

Accepted Answer

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

Question 4

Identify the set as finite or infinite
-$$\left\{ 1 , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 8 } , \ldots \right\}$$

Accepted Answer

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

Question 5

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$.
-$ \varnothing \subseteq \varnothing $

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

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. $$\begin{array} { c | c } 
\text { Region } & \text { Price } \
\hline \mathrm { A } & \$ 7.76 \
\mathrm {~B} & \$ 6.53 \
\mathrm { C } & \$ 6.46 \
\mathrm { D } & \$ 5.87 \
\mathrm { E } & \$ 4.12 \
\mathrm {~F} & \$ 3.56 \
\mathrm { G } & \$ 3.03 \
\mathrm { H } & \$ 2.60 \
\mathrm {~K} & \$ 2.38 \
\mathrm {~L} & \$ 1.75
\end{array}$$
The set of regions in which the average price for the new beverage is less than $3.50.

Accepted Answer

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

Question 9

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. $$\begin{array} { c | c } 
\text { Region } & \text { Price } \
\hline \mathrm { A } & \$ 7.24 \
\mathrm {~B} & \$ 6.68 \
\mathrm { C } & \$ 6.01 \
\mathrm { D } & \$ 5.82 \
\mathrm { E } & \$ 4.66 \
\mathrm {~F} & \$ 3.64 \
\mathrm { G } & \$ 3.37 \
\mathrm { H } & \$ 2.58 \
\mathrm {~K} & \$ 2.31 \
\mathrm {~L} & \$ 1.90
\end{array}$$
{x|x is a region in which the average price of the new beverage is at most $6.00}

Accepted Answer

A)  {D, E, F, G, H, K, L} 
B)  {A, B, C} 
C)  {E, F, G, H, K, L} 
D)  {A, B, C, D} 
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 10

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

Accepted Answer

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

Question 11

Answer the question.
-Joe goes to a mexican restaurant and order nachos. He can have just cheese or add any of the Following: steak, green peppers, salsa or refried beans. How many different variations of nachos Are possible?

Accepted Answer

A)  64 
B)  32 
C)  8 
D)  16 
A)  64 
B)  32 
C)  8 
D)  16

Question 12

Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$ \{0\} $ _____ $ \varnothing $

Accepted Answer

A) $\subset$$\text {  or } \subseteq$ 
B)  $\nsubseteq$ 
C)  $\subset$ 
D)  $\subseteq$ 
A) $\subset$$\text {  or } \subseteq$ 
B)  $\nsubseteq$ 
C)  $\subset$ 
D)  $\subseteq$

Question 13

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.
-{0} ⊆ U

Accepted Answer

A)  True 
B)  False; the empty set is a subset of set U. 
C)  False; {0} is not a subset of set U, because 0 is not an element of U. 
D)  False; 0 is an element of set U, not a subset. 
A)  True 
B)  False; the empty set is a subset of set U. 
C)  False; {0} is not a subset of set U, because 0 is not an element of U. 
D)  False; 0 is an element of set U, not a subset.

Question 14

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

Accepted Answer

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. 
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 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

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} 
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 17

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

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

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. 
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 20

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 { U } \subset \varnothing$

Accepted Answer

A) True 
 B)False

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

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 $C \subset U$ . - $\varnothing \subseteq A$

Find n(A) for the set. -A = {x | x is a number on a clock face}

Identify the set as finite or infinite - $\left\{ 1 , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \frac { 1 } { 8 } , \ldots \right\}$

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 $C \subset U$ . - $\varnothing \subseteq \varnothing$

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

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

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

Answer the question. -Joe goes to a mexican restaurant and order nachos. He can have just cheese or add any of the Following: steak, green peppers, salsa or refried beans. How many different variations of nachos Are possible?

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\{0\}$ _____ $\varnothing$

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. -{0} ⊆ U

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

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

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

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

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

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

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 $C \subset U$ . - $\mathrm { U } \subset \varnothing$

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