Question 1

Answer the question and tell whether it illustrates inductive or deductive reasoning. 
No turtles have fur. 
Buster has fur. 
Therefore, Buster ______________.

Accepted Answer

is not a t

Question 2

A glazed doughnut contains 200 calories. Suppose you eat one doughnut, 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

A)  {j}, {j, b}, {j, w}, {j, b, w}, {b}, {b, w} 
B)  {j}, {b}, {w} 
C)  {j}, {j, b}, {j, w}, {j, b, w}, {b}, {b, w}, {w} 
D)  {j}, {j, b}, {j, w}, {j, b, w} 
E)  $\varnothing $ 
A)  {j}, {j, b}, {j, w}, {j, b, w}, {b}, {b, w} 
B)  {j}, {b}, {w} 
C)  {j}, {j, b}, {j, w}, {j, b, w}, {b}, {b, w}, {w} 
D)  {j}, {j, b}, {j, w}, {j, b, w} 
E)  $\varnothing $

Question 3

Construct a truth table for the statement.
 $$\begin{array} { l } 
\text { cellpadding="0" cellspacing } = " 0 " \text { width } = " 81 \% " \text { border } = " 1 " > \
p \quad q \sim q \sim p p \vee \sim q ( p \vee \sim q ) \vee \sim p
\end{array}$$

Accepted Answer

The answer of Construct a truth table for the statement.
...

Question 4

What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
 $$\{ \} = \varnothing$$

Accepted Answer

A) True 
 B)False

Question 5

Translate the following into set notation. 
E and F

Accepted Answer

The answer of Translate the following into set notation. 
E...

Question 6

Give the numbers of elements in the region marked IV in the figure. $$| U | = 1,100 , | A | = 650 , | B | = 400 , | A \cap B | = 75$$

Accepted Answer

A)  125 elements 
B)  400 elements 
C)  0 elements 
D)  325 elements 
E)  575 elements 
A)  125 elements 
B)  400 elements 
C)  0 elements 
D)  325 elements 
E)  575 elements

Question 7

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

Accepted Answer

A)  $B \subseteq A$ 
B)  $A \subset B$ 
C)  $B \in A$ 
D)  $B \subset A$ 
E)  $A \subseteq B$ 
A)  $B \subseteq A$ 
B)  $A \subset B$ 
C)  $B \in A$ 
D)  $B \subset A$ 
E)  $A \subseteq B$

Question 8

Construct a truth table for the statement.
 $$\begin{array}{l}
\text { cellpadding } = " 0 " \text { cellspacing } = " 0 " \text { width } = " 96 \% " \text { border } = " 1 " >\end{array}$$

Accepted Answer

\[\begin{array} { c c c c c } 
\text { c

Question 9

List all subsets of the following set. $$H = \{ 3 \}$$

Accepted Answer

A)  $\varnothing , \{ 3 \}$ 
B)  $\{ 3 \}$ 
C)   $ \varnothing $ 
D)  $\{ Q \} , \{ H \}$ 
E)  $H$ 
A)  $\varnothing , \{ 3 \}$ 
B)  $\{ 3 \}$ 
C)   $ \varnothing $ 
D)  $\{ Q \} , \{ H \}$ 
E)  $H$

Question 10

Specify the set by description. 
 $\{ 10,20,30 , \ldots , 110 \}$

Accepted Answer

{multiples

Question 11

Draw a Venn diagram showing the sets $A$ $B$ and $C$ where $A$ is the set of students in the classroom who drove to campus, $B$ is the set of students in the classroom using a pencil to take notes , $C$ is the set of students in the classroom wearing black shoes, and the universe is the set of students in the classroom. Assume that each region corresponds to a nonempty set.

Accepted Answer

The answer of Draw a Venn diagram showing the sets...

Question 12

Which conclusion is valid? Some Cats have fur.
Floppy has fur.

Accepted Answer

A)  Floppy is a rabbit. 
B)  None of the conclusions. 
C)  Floppy is not a Cat. 
D)  Floppy is a Cat. 
E)  Floppy is not a rabbit. 
A)  Floppy is a rabbit. 
B)  None of the conclusions. 
C)  Floppy is not a Cat. 
D)  Floppy is a Cat. 
E)  Floppy is not a rabbit.

Question 13

Draw a Venn diagram: the union of the complement of set $A$ and the complement of set $B$ .

Accepted Answer

The answer of Draw a Venn diagram: the union of...

Question 14

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. $A \cap ( \bar { B } \cup C )$

Accepted Answer

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

Question 15

Draw a Venn diagram showing the sets $A$ and $B$ where $A$ is the set of ducks, $B$ is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.

Accepted Answer

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

Question 16

In logic, a double negation may be replaced by the negation of a statement.

Accepted Answer

A) True 
 B)False

Question 17

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. $$\overline { A \cap ( B \cup C ) }$$

Accepted Answer

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

Question 18

The negation of the statement 
"All snakes have scales." is 
"Some snakes do not have scales."

Accepted Answer

A) True 
 B)False

Question 19

How many proper subsets does the set $\{ w , x , y , z \}$ have?

Accepted Answer

The answer of How many proper subsets does the set...

Question 20

Find the truth value when p is T. $\sim ( \sim p )$

Accepted Answer

A)  T 
B)  F 
C)  not valid 
D)  p 
E)  ~ p 
A)  T 
B)  F 
C)  not valid 
D)  p 
E)  ~ p

Answer the question and tell whether it illustrates inductive or deductive reasoning. No turtles have fur. Buster has fur. Therefore, Buster ______________.

Construct a truth table for the statement. cellpadding="0" cellspacing ="0" width ="81\%" border ="1"> pq\simq\simpp\vee\simq(p\vee\simq)\vee\simp

What is wrong, if anything, with the statement? Answer True or False and explain your reasoning. $\{ \} = \varnothing$

Translate the following into set notation. E and F

Give the numbers of elements in the region marked IV in the figure. $| U | = 1,100 , | A | = 650 , | B | = 400 , | A \cap B | = 75$ $Give the numbers of elements in the region marked IV in the figure. | U | = 1,100 , | A | = 650 , | B | = 400 , | A \cap B | = 75$

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

Construct a truth table for the statement. cellpadding ="0" cellspacing ="0" width ="96\%" border ="1"> $Construct a truth table for the statement. \begin{array}{l} \text { cellpadding } = 0 \text { cellspacing } = 0 \text { width } = 96 \% \text { border } = 1 >\end{array}$

List all subsets of the following set. $H = \{ 3 \}$

Specify the set by description. $\{ 10,20,30 , \ldots , 110 \}$

Which conclusion is valid? Some Cats have fur. Floppy has fur.

Draw a Venn diagram: the union of the complement of set $A$ and the complement of set $B$ .

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. $A \cap ( \bar { B } \cup C )$

Draw a Venn diagram showing the sets $A$ and $B$ where $A$ is the set of ducks, $B$ is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.

In logic, a double negation may be replaced by the negation of a statement.

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. $\overline { A \cap ( B \cup C ) }$

The negation of the statement "All snakes have scales." is "Some snakes do not have scales."

How many proper subsets does the set $\{ w , x , y , z \}$ have?

Find the truth value when p is T. $\sim ( \sim p )$

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

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Exam 8: Sets and Logic

Answer the question and tell whether it illustrates inductive or deductive reasoning. No turtles have fur. Buster has fur. Therefore, Buster ______________.

Construct a truth table for the statement. cellpadding="0" cellspacing ="0" width ="81\%" border ="1"> pq\simq\simpp\vee\simq(p\vee\simq)\vee\simp

What is wrong, if anything, with the statement? Answer True or False and explain your reasoning. {}=∅\{ \} = \varnothing{}=∅

Translate the following into set notation. E and F

Give the numbers of elements in the region marked IV in the figure. ∣U∣=1,100,∣A∣=650,∣B∣=400,∣A∩B∣=75| U | = 1,100 , | A | = 650 , | B | = 400 , | A \cap B | = 75∣U∣=1,100,∣A∣=650,∣B∣=400,∣A∩B∣=75

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

Construct a truth table for the statement. cellpadding ="0" cellspacing ="0" width ="96\%" border ="1">

List all subsets of the following set. H={3}H = \{ 3 \}H={3}

Specify the set by description. {10,20,30,…,110}\{ 10,20,30 , \ldots , 110 \}{10,20,30,…,110}

Which conclusion is valid? Some Cats have fur. Floppy has fur.

Draw a Venn diagram: the union of the complement of set AAA and the complement of set BBB .

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∩(Bˉ∪C)A \cap ( \bar { B } \cup C )A∩(Bˉ∪C)

Draw a Venn diagram showing the sets AAA and BBB where AAA is the set of ducks, BBB is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.

In logic, a double negation may be replaced by the negation of a statement.

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 \cup C ) }A∩(B∪C)​

The negation of the statement "All snakes have scales." is "Some snakes do not have scales."

How many proper subsets does the set {w,x,y,z}\{ w , x , y , z \}{w,x,y,z} have?

Find the truth value when p is T. ∼(∼p)\sim ( \sim p )∼(∼p)

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

What is wrong, if anything, with the statement? Answer True or False and explain your reasoning. $\{ \} = \varnothing$

Give the numbers of elements in the region marked IV in the figure. $| U | = 1,100 , | A | = 650 , | B | = 400 , | A \cap B | = 75$ $Give the numbers of elements in the region marked IV in the figure. | U | = 1,100 , | A | = 650 , | B | = 400 , | A \cap B | = 75$

Construct a truth table for the statement. cellpadding ="0" cellspacing ="0" width ="96\%" border ="1"> $Construct a truth table for the statement. \begin{array}{l} \text { cellpadding } = 0 \text { cellspacing } = 0 \text { width } = 96 \% \text { border } = 1 >\end{array}$

List all subsets of the following set. $H = \{ 3 \}$

Specify the set by description. $\{ 10,20,30 , \ldots , 110 \}$

Draw a Venn diagram: the union of the complement of set $A$ and the complement of set $B$ .

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. $A \cap ( \bar { B } \cup C )$

Draw a Venn diagram showing the sets $A$ and $B$ where $A$ is the set of ducks, $B$ is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty 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. $\overline { A \cap ( B \cup C ) }$

How many proper subsets does the set $\{ w , x , y , z \}$ have?

Find the truth value when p is T. $\sim ( \sim p )$