Question 1

Tell whether you believe that the conjecture is true or false. 
The sum of two even numbers is even.

Accepted Answer

A) True 
 B)False

Question 2

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 5,7 \} \
C = \{ 2,5,6,7,10 \}
\end{array}$$ List all the members of the set. $( A \cup B ) \cup C$

Accepted Answer

A)  $\{ 1,2,4,6,7,8,10 \}$ 
B)  $\{ 2,4,5,6,8,10 \}$ 
C)  $\{ 1,4,5,6,7,8,10 \}$ 
D)  $\{ 2,4,5,6,7,8,10 \}$ 
E)  $\varnothing$ 
A)  $\{ 1,2,4,6,7,8,10 \}$ 
B)  $\{ 2,4,5,6,8,10 \}$ 
C)  $\{ 1,4,5,6,7,8,10 \}$ 
D)  $\{ 2,4,5,6,7,8,10 \}$ 
E)  $\varnothing$

Question 3

Tell whether you believe that the conjecture is true or false. 
The product of two prime numbers is prime.

Accepted Answer

A) True 
 B)False

Question 4

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 3,9 \} \
C = \{ 2,3,8,9,10 \}
\end{array}$$ List all the members of the set. $( A \cap B ) \cap C$

Accepted Answer

A)  $\{ 2,4,9 \}$ 
B)  $\{ 3,9 \}$ 
C)  $\{ 1,2,3,4,5,6,7,8,9,10 \}$ 
D)  $\{ 2,3 \}$ 
E)  $\varnothing$ 
A)  $\{ 2,4,9 \}$ 
B)  $\{ 3,9 \}$ 
C)  $\{ 1,2,3,4,5,6,7,8,9,10 \}$ 
D)  $\{ 2,3 \}$ 
E)  $\varnothing$

Question 5

Write the words in symbols: 
For the sets A and B, 
B is a proper subset of A.

Accepted Answer

The answer of Write the words in symbols: 
For the...

Question 6

Specify the set by description. 
 $\{ 90,900,9,000 , \ldots \}$

Accepted Answer

{whole/counting/natu

Question 7

In a recent survey of $100$ women, the following information was gathered: $54$ use shampoo A. $51$ use shampoo B. $34$ use shampoo C. $24$ use shampoos A and B. $19$ use shampoos A and C. $$12$$ use shampoos B and C. $$16$$ use all three. Name the three sets in this survey A , B , and C . Use the figure (with Regions I to VIII) to answer the question.   $A =$ __________ $B =$ __________ $\mathrm { C }  $ __________

Accepted Answer

{women who use shamp

Question 8

A survey of 7,000 heads of household asked the following questions: Check the box if the answer is "yes".
My household has an Internet connection.
Someone in my household has a cell phone.
If 2,650 of the households checked the first box, what percentage of the respondents have an Internet connection?
If 1,950 of the households checked the second box, what percentage of the respondents have a cell phone in the household?
If 200 checked both boxes, what percentage of the households have both an Internet connection and a cell phone?
What percentage of the households have an Internet connection or a cell phone?

Accepted Answer

A)  37.9% have an internet connection 27.9% have a cell phone
97.1% have a cell phone and an internet connection
37.1% have a cell phone or an internet connection 
B)  27.9% have an internet connection 37.9% have a cell phone
2.9% have a cell phone and an internet connection
62.9% have a cell phone or an internet connection 
C)  37.9% have an internet connection 27.9% have a cell phone
2.9% have a cell phone and an internet connection
68.6% have a cell phone or an internet connection 
D)  37.9% have an internet connection 27.9% have a cell phone
2.9% have a cell phone and an internet connection
62.9% have a cell phone or an internet connection 
E)  62.1% have an internet connection 72.1% have a cell phone
97.1% have a cell phone and an internet connection
37.1% have a cell phone or an internet connection 
A)  37.9% have an internet connection 27.9% have a cell phone
97.1% have a cell phone and an internet connection
37.1% have a cell phone or an internet connection 
B)  27.9% have an internet connection 37.9% have a cell phone
2.9% have a cell phone and an internet connection
62.9% have a cell phone or an internet connection 
C)  37.9% have an internet connection 27.9% have a cell phone
2.9% have a cell phone and an internet connection
68.6% have a cell phone or an internet connection 
D)  37.9% have an internet connection 27.9% have a cell phone
2.9% have a cell phone and an internet connection
62.9% have a cell phone or an internet connection 
E)  62.1% have an internet connection 72.1% have a cell phone
97.1% have a cell phone and an internet connection
37.1% have a cell phone or an internet connection

Question 9

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 3,5,7 \} \
B = \{ 5,8,9 \}
\end{array}$$ List all the members of the set. $A \cap B$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 10

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

The fire department wants to send booklets on fire hazards to all teachers and homeowners in town. How many booklets does it need, using these statistics? 54,000 homeowners
7,000 teachers
5,000 teachers who own their own homes

Accepted Answer

A)  66,000 booklets 
B)  61,000 booklets 
C)  52,000 booklets 
D)  42,000 booklets 
E)  56,000 booklets 
A)  66,000 booklets 
B)  61,000 booklets 
C)  52,000 booklets 
D)  42,000 booklets 
E)  56,000 booklets

Question 12

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 3,4,5 \} \
B = \{ 4,6,7 \}
\end{array}$ List all the members of the set. $A \cup B$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 13

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,3,4,5,6 \} \
B = \{ 4,5,6,7,8 \}
\end{array}$$ List all the members of the set. $A \cup B$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 14

There have been $44$ presidents. In order to help you answer the question below, draw a Venn diagram showing the following facts about where each served before assuming the presidency. $14$ were vice-president. $6$ were VP and served in the Senate. $16$ served in the Senate. 2 were VP and held a cabinet post. $8$ held a cabinet post. 4 served in the Senate and held a cabinet post. $1$ was VP, in the Senate, and held a cabinet post. How many presidents served as vice-president and in a cabinet post, but did not serve in the Senate? __________ president(s)

Accepted Answer

The answer of There have been $44$ presidents. In order...

Question 15

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 3 \} \
B = \{ 1,2,3,4,5 \}
\end{array}$$ List all the members of the set. $\bar { A }$

Accepted Answer

A)  $\{ 3 \}$ 
B)  $\{ 1,3,4,5,6,7,8,9,10 \}$ 
C)  $\{ 1,2,4,5,6,7,8,9,10 \}$ 
D)  $\{ 1,2,3,4,5,6,7,8,9,10 \}$ 
E)  $\varnothing $ 
A)  $\{ 3 \}$ 
B)  $\{ 1,3,4,5,6,7,8,9,10 \}$ 
C)  $\{ 1,2,4,5,6,7,8,9,10 \}$ 
D)  $\{ 1,2,3,4,5,6,7,8,9,10 \}$ 
E)  $\varnothing $

Question 16

Use set notation to identify the shaded portion of the Venn diagram.

Accepted Answer

A)  $A \cap B$ 
B)  $A \cup \bar { B }$ 
C)  $\bar { A } \cup B$ 
D)  $A \cap \bar { B }$ 
E)  $\bar { A } \cup \bar { B }$ 
A)  $A \cap B$ 
B)  $A \cup \bar { B }$ 
C)  $\bar { A } \cup B$ 
D)  $A \cap \bar { B }$ 
E)  $\bar { A } \cup \bar { B }$

Question 17

Use Venn diagrams to check the validity of the argument. 
All dogs have fur. 
Jeter is a dog. 
Therefore, Jeter has fur. 
__________ ( valid / not valid )

Accepted Answer

The answer of Use Venn diagrams to check the validity...

Question 18

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 3,9 \} \
C = \{ 2,3,4,9,10 \}
\end{array}$$ List all the members of the set. $\overline{ ( A \cup B ) \cup C} $

Accepted Answer

A)  $\{ 1,7 \}$ 
B)  $\{ 1,5,7 \}$ 
C)  $\{ 1,2,3,4,5,7,9,10 \}$ 
D)  $\{ 1,3,9,10 \}$ 
E)  $\varnothing$ 
A)  $\{ 1,7 \}$ 
B)  $\{ 1,5,7 \}$ 
C)  $\{ 1,2,3,4,5,7,9,10 \}$ 
D)  $\{ 1,3,9,10 \}$ 
E)  $\varnothing$

Question 19

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {4, 6, 8} B = {1, 3, 5} List all the members of the set. $\bar { A }$

Accepted Answer

A)  {1, 2, 3, 5, 7, 9, 10} 
B)  {1, 2, 4, 6, 8, 9, 10} 
C)  {4, 6, 8} 
D)  {1, 3, 5} 
E)  $\varnothing $ 
A)  {1, 2, 3, 5, 7, 9, 10} 
B)  {1, 2, 4, 6, 8, 9, 10} 
C)  {4, 6, 8} 
D)  {1, 3, 5} 
E)  $\varnothing $

Question 20

Write the negation of the statement. $10 - 4 = 5$

Accepted Answer

The answer of Write the negation of the statement. \(10...

Tell whether you believe that the conjecture is true or false. The sum of two even numbers is even.

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{5,7\} C=\{2,5,6,7,10\} List all the members of the set. $( A \cup B ) \cup C$

Tell whether you believe that the conjecture is true or false. The product of two prime numbers is prime.

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,9\} C=\{2,3,8,9,10\} List all the members of the set. $( A \cap B ) \cap C$

Write the words in symbols: For the sets A and B, B is a proper subset of A.

Specify the set by description. $\{ 90,900,9,000 , \ldots \}$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3,5,7\} B=\{5,8,9\} List all the members of the set. $A \cap B$

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .

The fire department wants to send booklets on fire hazards to all teachers and homeowners in town. How many booklets does it need, using these statistics? 54,000 homeowners 7,000 teachers 5,000 teachers who own their own homes

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3,4,5\} B=\{4,6,7\} List all the members of the set. $A \cup B$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,3,4,5,6\} B=\{4,5,6,7,8\} List all the members of the set. $A \cup B$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3\} B=\{1,2,3,4,5\} List all the members of the set. $\bar { A }$

Use set notation to identify the shaded portion of the Venn diagram.

Use Venn diagrams to check the validity of the argument. All dogs have fur. Jeter is a dog. Therefore, Jeter has fur. __________ ( valid / not valid )

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,9\} C=\{2,3,4,9,10\} List all the members of the set. $\overline{ ( A \cup B ) \cup C}$

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {4, 6, 8} B = {1, 3, 5} List all the members of the set. $\bar { A }$

Write the negation of the statement. $10 - 4 = 5$

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Probability

Statistics

Graphs

Filters

Exam 8: Sets and Logic

Tell whether you believe that the conjecture is true or false. The sum of two even numbers is even.

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{5,7\} C=\{2,5,6,7,10\} List all the members of the set. (A∪B)∪C( A \cup B ) \cup C(A∪B)∪C

Tell whether you believe that the conjecture is true or false. The product of two prime numbers is prime.

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,9\} C=\{2,3,8,9,10\} List all the members of the set. (A∩B)∩C( A \cap B ) \cap C(A∩B)∩C

Write the words in symbols: For the sets A and B, B is a proper subset of A.

Specify the set by description. {90,900,9,000,…}\{ 90,900,9,000 , \ldots \}{90,900,9,000,…}

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3,5,7\} B=\{5,8,9\} List all the members of the set. A∩BA \cap BA∩B

Draw a Venn diagram: the intersection of the complements of sets AAA and BBB .

The fire department wants to send booklets on fire hazards to all teachers and homeowners in town. How many booklets does it need, using these statistics? 54,000 homeowners 7,000 teachers 5,000 teachers who own their own homes

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3,4,5\} B=\{4,6,7\} List all the members of the set. A∪BA \cup BA∪B

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,3,4,5,6\} B=\{4,5,6,7,8\} List all the members of the set. A∪BA \cup BA∪B

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3\} B=\{1,2,3,4,5\} List all the members of the set. Aˉ\bar { A }Aˉ

Use set notation to identify the shaded portion of the Venn diagram.

Use Venn diagrams to check the validity of the argument. All dogs have fur. Jeter is a dog. Therefore, Jeter has fur. __________ ( valid / not valid )

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,9\} C=\{2,3,4,9,10\} List all the members of the set. (A∪B)∪C‾\overline{ ( A \cup B ) \cup C} (A∪B)∪C​

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {4, 6, 8} B = {1, 3, 5} List all the members of the set. Aˉ\bar { A }Aˉ

Write the negation of the statement. 10−4=510 - 4 = 510−4=5

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Introduction to Algebra

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Probability

Statistics

Graphs

Filters

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{5,7\} C=\{2,5,6,7,10\} List all the members of the set. $( A \cup B ) \cup C$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,9\} C=\{2,3,8,9,10\} List all the members of the set. $( A \cap B ) \cap C$

Specify the set by description. $\{ 90,900,9,000 , \ldots \}$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3,5,7\} B=\{5,8,9\} List all the members of the set. $A \cap B$

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3,4,5\} B=\{4,6,7\} List all the members of the set. $A \cup B$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,3,4,5,6\} B=\{4,5,6,7,8\} List all the members of the set. $A \cup B$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{3\} B=\{1,2,3,4,5\} List all the members of the set. $\bar { A }$

Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{3,9\} C=\{2,3,4,9,10\} List all the members of the set. $\overline{ ( A \cup B ) \cup C}$

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {4, 6, 8} B = {1, 3, 5} List all the members of the set. $\bar { A }$

Write the negation of the statement. $10 - 4 = 5$