Question 1

Specify the set by description. $$\{ 101,102,103 , \ldots , 190 \}$$

Accepted Answer

A)  {even counting numbers less than 192} 
B)  {counting numbers greater than 100} 
C)  {odd counting numbers less than 191} 
D)  {counting numbers between 100 and 191} 
E)  {counting numbers less than 190} 
A)  {even counting numbers less than 192} 
B)  {counting numbers greater than 100} 
C)  {odd counting numbers less than 191} 
D)  {counting numbers between 100 and 191} 
E)  {counting numbers less than 190}

Question 2

The expression ~ ( ~ p ) may be replaced by p.

Accepted Answer

A) True 
 B)False

Question 3

Translate the given statement into words. $$\sim p \cup q$$ Let p: Turtles have a shell; q: Turtles eat bugs.

Accepted Answer

Turtles do

Question 4

Let $N = \{ 2,3,4,5 \} , \quad S = \{ \text { whole numbers between } 1 \text { and } 6 \} , L = \{ a , b , c , d \}$ The cardinality of S is 6.

Accepted Answer

A) True 
 B)False

Question 5

In a recent survey of $100$ women, the following information was gathered: $54$ use shampoo A. $53$ use shampoo B. $31$ use shampoo C. $21$ use shampoos A and B. $17$ use shampoos A and C. $13$ use shampoos B and C. $9$ use all three. How many are not using any of the three listed shampoos (Region VIII)? 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)  17 women 
B)  21 women 
C)  4 women 
D)  9 women 
E)  13 women 
A)  17 women 
B)  21 women 
C)  4 women 
D)  9 women 
E)  13 women

Question 6

The negation of the statement 
"All bears have fur." is 
"No bears have fur."

Accepted Answer

A) True 
 B)False

Question 7

A glazed doughnut contains 230 calories. Suppose you eat two doughnuts, and then decide to exercise to burn off the calories. Use the given table to list all possible sets of exercises that will burn off the calories in 1 hour. Exercise Calories/hr Walking 150 Biking 420 Jogging 500 Enter your answers in set notation using w for walking , b for biking , and j for jogging . If there is more than one correct answer, separate them with commas. If there is no such set, enter $\varnothing$ .

Accepted Answer

The answer of A glazed doughnut contains 230 calories. Suppose...

Question 8

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

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

Question 9

Write the negation of the statement. 
No turtles have fur.

Accepted Answer

Some turtl

Question 10

Is it possible for an argument to be valid even if it is nonsense?

Accepted Answer

yes, validity of an argument depends on

Question 11

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

Accepted Answer

The answer of Use set notation to identify the shaded...

Question 12

Use Venn diagrams to check the validity of the argument. 
No politicians are honest. 
Some dishonest people are found out. 
Therefore, some politicians are found out. 
__________ ( valid / not valid )

Accepted Answer

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

Question 13

A survey of 9,000 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 4,350 of the households checked the first box, what percentage of the respondents have an Internet connection? 
__________% have an internet connection 
If 3,450 of the households checked the second box, what percentage of the respondents have a cell phone? 
__________% have a cell phone 
If 200 checked both boxes, what percentage of the households have both an Internet connection and a cell phone? 
__________% have an internet connection and a cell phone 
What percentage of the households have an Internet connection or a cell phone? 
__________% have an internet connection or a cell phone 
Round your answers to the nearest tenth of a percent.

Accepted Answer

The answer of A survey of 9,000 heads of household...

Question 14

Answer the question and tell whether it illustrates inductive or deductive reasoning. Give the $6 \text { th }$ number in the pattern: $\begin{array} { l } 
1 + 2 = 3 \
1 + 2 + 3 = 6 \
1 + 2 + 3 + 4 = 10 \
1 + 2 + 3 + 4 + 5 = 15
\end{array}$ The $6 \text { th }$ number is __________. It illustrates __________ reasoning .

Accepted Answer

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

Question 15

Specify the set by description. 
 $\{ 1,2,3,4,5 \}$

Accepted Answer

{counting numbers le

Question 16

Give the numbers of elements in the region marked III in the figure. $| U | = 29 , | A | = 6 , | B | = 13 , | A \cap B | = 4$

Accepted Answer

A)  $4$ elements 
B)  $2$ elements 
C)  $14$ elements 
D)  $9$ elements 
E)  $0$ elements 
A)  $4$ elements 
B)  $2$ elements 
C)  $14$ elements 
D)  $9$ elements 
E)  $0$ elements

Question 17

Write the negation of the statement. 
Some fish have gills.

Accepted Answer

The answer of Write the negation of the statement. 
Some...

Question 18

The following is a statement. 
The painting is beautiful.

Accepted Answer

A) True 
 B)False

Question 19

Consider the sets. $A =$ {four} $B =$ $\{ s , l , i , p \}$ $\mathrm { C } =$ {letters in the word bush } $D =$ $\{ 3 + 1 \}$ $E =$ {5} $F =$ {4} What is the cardinality of each set?

Accepted Answer

A)  $| A | = 3$ ; $| B | = 1$ ; $| C | = 1$ ; $| D | = 1$ ; $| E | = 1$ ; $| F | = 1$ ; 
B)  $| A | = 1$ ; $| B | = 4$ ; $| C | = 4$ ; $| D | = 1$ ; $| E | = 1$ ; $| F | = 1$ ; 
C)  $| A | = 1$ ; $| B | = 4$ ; $| C | = 3$ ; $| D | = 3$ ; $| E | = 1$ ; $| F | = 1$ ; 
D)  $| A | = 1$ ; $| B | = 3$ ; $| C | = 3$ ; $| D | = 1$ ; $| E | = 1$ ; $| F | = 3$ ; 
E)  $| A | = 4$ ; $| B | = 1$ ; $| C | = 1$ ; $| D | = 1$ ; $| E | = 4$ ; $| F | = 1$ ; 
A)  $| A | = 3$ ; $| B | = 1$ ; $| C | = 1$ ; $| D | = 1$ ; $| E | = 1$ ; $| F | = 1$ ; 
B)  $| A | = 1$ ; $| B | = 4$ ; $| C | = 4$ ; $| D | = 1$ ; $| E | = 1$ ; $| F | = 1$ ; 
C)  $| A | = 1$ ; $| B | = 4$ ; $| C | = 3$ ; $| D | = 3$ ; $| E | = 1$ ; $| F | = 1$ ; 
D)  $| A | = 1$ ; $| B | = 3$ ; $| C | = 3$ ; $| D | = 1$ ; $| E | = 1$ ; $| F | = 3$ ; 
E)  $| A | = 4$ ; $| B | = 1$ ; $| C | = 1$ ; $| D | = 1$ ; $| E | = 4$ ; $| F | = 1$ ;

Question 20

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

Accepted Answer

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

Specify the set by description. $\{ 101,102,103 , \ldots , 190 \}$

The expression ~ ( ~ p ) may be replaced by p.

Translate the given statement into words. $\sim p \cup q$ Let p: Turtles have a shell; q: Turtles eat bugs.

Let $N = \{ 2,3,4,5 \} , \quad S = \{ \text { whole numbers between } 1 \text { and } 6 \} , L = \{ a , b , c , d \}$ The cardinality of S is 6.

The negation of the statement "All bears have fur." is "No bears have fur."

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. $A \cup B$

Write the negation of the statement. No turtles have fur.

Is it possible for an argument to be valid even if it is nonsense?

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

Use Venn diagrams to check the validity of the argument. No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out. __________ ( valid / not valid )

Answer the question and tell whether it illustrates inductive or deductive reasoning. Give the $6 \text { th }$ number in the pattern: 1+2=3 1+2+3=6 1+2+3+4=10 1+2+3+4+5=15 The $6 \text { th }$ number is . It illustrates reasoning .

Specify the set by description. $\{ 1,2,3,4,5 \}$

Give the numbers of elements in the region marked III in the figure. $| U | = 29 , | A | = 6 , | B | = 13 , | A \cap B | = 4$ $Give the numbers of elements in the region marked III in the figure. | U | = 29 , | A | = 6 , | B | = 13 , | A \cap B | = 4$

Write the negation of the statement. Some fish have gills.

The following is a statement. The painting is beautiful.

Consider the sets. $A =$ {four} $B =$ $\{ s , l , i , p \}$ $\mathrm { C } =$ {letters in the word bush } $D =$ $\{ 3 + 1 \}$ $E =$ {5} $F =$ {4} What is the cardinality of each set?

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

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

Specify the set by description. {101,102,103,…,190}\{ 101,102,103 , \ldots , 190 \}{101,102,103,…,190}

The expression ~ ( ~ p ) may be replaced by p.

Translate the given statement into words. ∼p∪q\sim p \cup q∼p∪q Let p: Turtles have a shell; q: Turtles eat bugs.

Let N={2,3,4,5},S={ whole numbers between 1 and 6},L={a,b,c,d}N = \{ 2,3,4,5 \} , \quad S = \{ \text { whole numbers between } 1 \text { and } 6 \} , L = \{ a , b , c , d \}N={2,3,4,5},S={ whole numbers between 1 and 6},L={a,b,c,d} The cardinality of S is 6.

The negation of the statement "All bears have fur." is "No bears have fur."

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

Write the negation of the statement. No turtles have fur.

Is it possible for an argument to be valid even if it is nonsense?

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

Use Venn diagrams to check the validity of the argument. No politicians are honest. Some dishonest people are found out. Therefore, some politicians are found out. __________ ( valid / not valid )

Answer the question and tell whether it illustrates inductive or deductive reasoning. Give the 6 th 6 \text { th }6 th number in the pattern: 1+2=3 1+2+3=6 1+2+3+4=10 1+2+3+4+5=15 The 6 th 6 \text { th }6 th number is __________. It illustrates __________ reasoning .

Specify the set by description. {1,2,3,4,5}\{ 1,2,3,4,5 \}{1,2,3,4,5}

Give the numbers of elements in the region marked III in the figure. ∣U∣=29,∣A∣=6,∣B∣=13,∣A∩B∣=4| U | = 29 , | A | = 6 , | B | = 13 , | A \cap B | = 4∣U∣=29,∣A∣=6,∣B∣=13,∣A∩B∣=4

Write the negation of the statement. Some fish have gills.

The following is a statement. The painting is beautiful.

Consider the sets. A=A =A= {four} B=B =B= {s,l,i,p}\{ s , l , i , p \}{s,l,i,p} C=\mathrm { C } =C= {letters in the word bush } D=D =D= {3+1}\{ 3 + 1 \}{3+1} E=E =E= {5} F=F =F= {4} What is the cardinality of each set?

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

Specify the set by description. $\{ 101,102,103 , \ldots , 190 \}$

Translate the given statement into words. $\sim p \cup q$ Let p: Turtles have a shell; q: Turtles eat bugs.

Let $N = \{ 2,3,4,5 \} , \quad S = \{ \text { whole numbers between } 1 \text { and } 6 \} , L = \{ a , b , c , d \}$ The cardinality of S is 6.

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. $A \cup B$

Answer the question and tell whether it illustrates inductive or deductive reasoning. Give the $6 \text { th }$ number in the pattern: 1+2=3 1+2+3=6 1+2+3+4=10 1+2+3+4+5=15 The $6 \text { th }$ number is . It illustrates reasoning .

Specify the set by description. $\{ 1,2,3,4,5 \}$

Give the numbers of elements in the region marked III in the figure. $| U | = 29 , | A | = 6 , | B | = 13 , | A \cap B | = 4$ $Give the numbers of elements in the region marked III in the figure. | U | = 29 , | A | = 6 , | B | = 13 , | A \cap B | = 4$

Consider the sets. $A =$ {four} $B =$ $\{ s , l , i , p \}$ $\mathrm { C } =$ {letters in the word bush } $D =$ $\{ 3 + 1 \}$ $E =$ {5} $F =$ {4} What is the cardinality of each set?

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