Question 1

List all subsets of the following set. $$J = \{ 4,5,6 \}$$

Accepted Answer

A)  $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , \{ 4,5,6 \}$ 
B)  $\{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \}$ 
C)  $\{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , J$ 
D)  $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , \{ J \}$ 
E)  $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , J , \{ J \}$ 
A)  $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , \{ 4,5,6 \}$ 
B)  $\{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \}$ 
C)  $\{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , J$ 
D)  $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , \{ J \}$ 
E)  $\varnothing , \{ 4 \} , \{ 5 \} , \{ 6 \} , \{ 4,5 \} , \{ 4,6 \} , \{ 5,6 \} , J , \{ J \}$

Question 2

Find the truth value when p is F and q is F. $\sim ( p \cap q )$

Accepted Answer

A)  F 
B)  T 
C)  not valid 
D)  $\sim p \cup q$ 
E)  ~ p 
A)  F 
B)  T 
C)  not valid 
D)  $\sim p \cup q$ 
E)  ~ p

Question 3

Specify the set by roster. 
{Positive multiples of 3}

Accepted Answer

The answer of Specify the set by roster. 
{Positive multiples...

Question 4

A poll was taken of $100$ students at a commuter campus to find out how they got to campus. The results were: $43$ said they drove alone. $33$ rode the bus. $27$ rode in a carpool. $7$ used both carpools and rode the bus. $9$ used both a carpool and sometimes drove alone. $5$ used buses as well as drove alone. $2$ used all three methods. How many are B only (Region II)? A = {people who drive alone} B = {people who ride the bus} C = {people who carpool} Use the figure (with Regions I to VIII) to answer the question.   __________ students

Accepted Answer

The answer of A poll was taken of $100$ students...

Question 5

Use Venn diagrams to check the validity of the argument. 
No monkeys are soldiers. 
All monkeys are mischievous. 
Therefore, some mischievous creatures are not soldiers. 
__________ ( valid / not valid )

Accepted Answer

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

Question 6

Translate the given statement into words. $$\sim ( p \vee q )$$ Let p: Lizards have a shell; q: Lizards eat bugs.

Accepted Answer

It is not the case t

Question 7

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. $A \cup ( B \cap C )$

Accepted Answer

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

Question 8

A poll was taken of $100$ students at a commuter campus to find out how they got to campus. The results were: $43$ said they drove alone. $30$ rode the bus. $29$ rode in a carpool. $7$ used both carpools and rode the bus. $10$ used both a carpool and sometimes drove alone. $5$ used buses as well as drove alone. $4$ used all three methods. How many are C only (Region III)? A = {people who drive alone} B = {people who ride the bus} C = {people who carpool} Use the figure (with Regions I to VIII) to answer the question.

Accepted Answer

A)  29 students 
B)  16 students 
C)  8 students 
D)  22 students 
E)  19 students 
A)  29 students 
B)  16 students 
C)  8 students 
D)  22 students 
E)  19 students

Question 9

Consider the sets. $A =$ {letters in the word dog } $B =$ {4} $\mathrm { C } =$ $\{ g , o , d \}$ $D =$ $\{ 2 + 1 \}$ $E =$ {three} $F =$ {3} Which of the sets can be placed into a one-to-one correspondence with $A$ ?

Accepted Answer

The answer of Consider the sets. $A =$ {letters in...

Question 10

At the time of Barack Obama s presidency, there have been 44 presidents of the United States. 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 only as Senators?

Accepted Answer

A)  4 presidents 
B)  7 presidents 
C)  2 presidents 
D)  1 president 
E)  14 presidents 
A)  4 presidents 
B)  7 presidents 
C)  2 presidents 
D)  1 president 
E)  14 presidents

Question 11

How many subsets are there in a set with cardinality of 7? Simplify your answer completely.

Accepted Answer

The answer of How many subsets are there in a...

Question 12

Specify the set by roster. { letters in the word math }

Accepted Answer

A)  $\{ m , t , h \}$ 
B)  $\{ m , a , t , h \}$ 
C)  $\{ t , h \}$ 
D)  $\{ m , a , t \}$ 
E)  $\{ m , t \}$ 
A)  $\{ m , t , h \}$ 
B)  $\{ m , a , t , h \}$ 
C)  $\{ t , h \}$ 
D)  $\{ m , a , t \}$ 
E)  $\{ m , t \}$

Question 13

Which of the given Venn diagrams highlights the region corresponding to the set of $D \cup C$ ?

Accepted Answer

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

Question 14

Answer the question and tell whether it illustrates inductive or deductive reasoning. The product of an even integer and an odd integer is even. Therefore,   is ______________.

Accepted Answer

The answer of Answer the question and tell whether it...

Question 15

In a sample of defective cars, 62 have defects in materials, 119 have defects in workmanship, and 29 have defects of both types. How many cars are in the sample? 
__________ cars

Accepted Answer

The answer of In a sample of defective cars, 62...

Question 16

Give the numbers of elements in the regions marked I, II, III, and IV in the figure. $$| U | = 1,000 , | A | = 50 , | B | = 250 , | A \cap B | = 30$$   I: __________ elements II: __________ elements III: __________ elements IV: __________ elements

Accepted Answer

The answer of Give the numbers of elements in the...

Question 17

Write the words in symbols: For the sets G and H,
G is a subset of H.

Accepted Answer

A)  $\mathrm { G } \subseteq H$ 
B)  $H \in G$ 
C)  $H \subseteq G$ 
D)  $G \in H$ 
E)  $G \subset H$ 
A)  $\mathrm { G } \subseteq H$ 
B)  $H \in G$ 
C)  $H \subseteq G$ 
D)  $G \in H$ 
E)  $G \subset H$

Question 18

In a recent survey of $100$ women, the following information was gathered: $55$ use shampoo A. $51$ use shampoo B. $33$ use shampoo C. $23$ use shampoos A and B. $19$ use shampoos A and C. $14$ use shampoos B and C. $11$ use all three. How many are using shampoo B only (Region II)? A = {women who use shampoo A } B = {women who use shampoo B } C = {women who use shampoo C } Use the figure (with Regions I to VIII) to answer the question.

Accepted Answer

A)  28 women 
B)  25 women 
C)  33 women 
D)  51 women 
E)  11 women 
A)  28 women 
B)  25 women 
C)  33 women 
D)  51 women 
E)  11 women

Question 19

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

Accepted Answer

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

Question 20

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

Accepted Answer

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

List all subsets of the following set. $J = \{ 4,5,6 \}$

Find the truth value when p is F and q is F. $\sim ( p \cap q )$

Specify the set by roster. {Positive multiples of 3}

Use Venn diagrams to check the validity of the argument. No monkeys are soldiers. All monkeys are mischievous. Therefore, some mischievous creatures are not soldiers. __________ ( valid / not valid )

Translate the given statement into words. $\sim ( p \vee q )$ Let p: Lizards have a shell; q: Lizards eat bugs.

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. $A \cup ( B \cap C )$

Consider the sets. $A =$ {letters in the word dog } $B =$ {4} $\mathrm { C } =$ $\{ g , o , d \}$ $D =$ $\{ 2 + 1 \}$ $E =$ {three} $F =$ {3} Which of the sets can be placed into a one-to-one correspondence with $A$ ?

How many subsets are there in a set with cardinality of 7? Simplify your answer completely.

Specify the set by roster. { letters in the word math }

Which of the given Venn diagrams highlights the region corresponding to the set of $D \cup C$ ?

Answer the question and tell whether it illustrates inductive or deductive reasoning. The product of an even integer and an odd integer is even. Therefore, is ______________.

In a sample of defective cars, 62 have defects in materials, 119 have defects in workmanship, and 29 have defects of both types. How many cars are in the sample? __________ cars

Write the words in symbols: For the sets G and H, G is a subset of H.

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

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

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

List all subsets of the following set. J={4,5,6}J = \{ 4,5,6 \}J={4,5,6}

Find the truth value when p is F and q is F. ∼(p∩q)\sim ( p \cap q )∼(p∩q)

Specify the set by roster. {Positive multiples of 3}

Use Venn diagrams to check the validity of the argument. No monkeys are soldiers. All monkeys are mischievous. Therefore, some mischievous creatures are not soldiers. __________ ( valid / not valid )

Translate the given statement into words. ∼(p∨q)\sim ( p \vee q )∼(p∨q) Let p: Lizards have a shell; q: Lizards eat bugs.

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 \cap C )A∪(B∩C)

Consider the sets. A=A =A= {letters in the word dog } B=B =B= {4} C=\mathrm { C } =C= {g,o,d}\{ g , o , d \}{g,o,d} D=D =D= {2+1}\{ 2 + 1 \}{2+1} E=E =E= {three} F=F =F= {3} Which of the sets can be placed into a one-to-one correspondence with AAA ?

How many subsets are there in a set with cardinality of 7? Simplify your answer completely.

Specify the set by roster. { letters in the word math }

Which of the given Venn diagrams highlights the region corresponding to the set of D∪CD \cup CD∪C ?

Answer the question and tell whether it illustrates inductive or deductive reasoning. The product of an even integer and an odd integer is even. Therefore, is ______________.

In a sample of defective cars, 62 have defects in materials, 119 have defects in workmanship, and 29 have defects of both types. How many cars are in the sample? __________ cars

Write the words in symbols: For the sets G and H, G is a subset of H.

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

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

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

List all subsets of the following set. $J = \{ 4,5,6 \}$

Find the truth value when p is F and q is F. $\sim ( p \cap q )$

Translate the given statement into words. $\sim ( p \vee q )$ Let p: Lizards have a shell; q: Lizards eat bugs.

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. $A \cup ( B \cap C )$

Consider the sets. $A =$ {letters in the word dog } $B =$ {4} $\mathrm { C } =$ $\{ g , o , d \}$ $D =$ $\{ 2 + 1 \}$ $E =$ {three} $F =$ {3} Which of the sets can be placed into a one-to-one correspondence with $A$ ?

Which of the given Venn diagrams highlights the region corresponding to the set of $D \cup C$ ?

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

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