Question 1

Construct a truth table for the statement.
-$\sim p \wedge \sim s$

Accepted Answer

A) 
$\begin{array}{ccc}
\mathrm{p} & \mathrm{s}(\sim \mathrm{p} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
B) 
$\begin{array}{ccc}
\mathrm{P} & \mathrm{s}(\sim \mathrm{P} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
C) 
$\begin{array}{ccc}
\mathrm{p} & \mathrm{s} & (\sim \mathrm{p} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
D) 
$\begin{array}{ccc}
\mathrm{p} & \mathrm{s} & (\sim \mathrm{p} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
A) 
$\begin{array}{ccc}
\mathrm{p} & \mathrm{s}(\sim \mathrm{p} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
B) 
$\begin{array}{ccc}
\mathrm{P} & \mathrm{s}(\sim \mathrm{P} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
C) 
$\begin{array}{ccc}
\mathrm{p} & \mathrm{s} & (\sim \mathrm{p} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
D) 
$\begin{array}{ccc}
\mathrm{p} & \mathrm{s} & (\sim \mathrm{p} \wedge \sim \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$

Question 2

Write the statement indicated.
-State the converse of the following: If the four sides of a rectangle are equal, then it is a square.

Accepted Answer

A) If it is a square, then the four sides of a rectangle are equal. 
B) If the four sides of a rectangle are equal, then it is not a square. 
C) If it is not a square then the four sides of the rectangle are not equal. 
D) If the four sides of a rectangle are not equal, then it is not a square. 
A) If it is a square, then the four sides of a rectangle are equal. 
B) If the four sides of a rectangle are equal, then it is not a square. 
C) If it is not a square then the four sides of the rectangle are not equal. 
D) If the four sides of a rectangle are not equal, then it is not a square.

Question 3

Construct a truth table for the statement.
-$\sim ( \sim ( \mathrm { s } \vee \mathrm { p } ) )$

Accepted Answer

A) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
B)  
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \mathrm{Vp})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
C) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \mathrm{} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
D)  
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F}
\end{array}$ 
A) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
B)  
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \mathrm{Vp})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
C) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \mathrm{} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
D)  
$\begin{array}{ccc}
\mathrm{s} & \mathrm{p} & \sim(\sim(\mathrm{s} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F}
\end{array}$

Question 4

Write in if-then form.
-I will go to class only if you go.

Accepted Answer

A) If I go to class, then you don't go to class. 
B) If I don't go to class, you don't go to class. 
C) If you go to class, then I'll go to class. 
D) If I go to class, then you go to class. 
A) If I go to class, then you don't go to class. 
B) If I don't go to class, you don't go to class. 
C) If you go to class, then I'll go to class. 
D) If I go to class, then you go to class.

Question 5

Determine whether the statements are logically equivalent.
-$\sim ( \sim q )$ and $q$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 6

Construct a truth table for the statement.
-$(p \wedge \sim q) \wedge t$

Accepted Answer

A) 
$\begin{array}{cccc}
\mathrm{p} & \mathrm{q} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{q}) \wedge \mathrm{t} \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
B) 
$\begin{array}{cccc}
\mathrm{p} & \mathrm{q} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{q}) \wedge \mathrm{t} \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
A) 
$\begin{array}{cccc}
\mathrm{p} & \mathrm{q} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{q}) \wedge \mathrm{t} \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
B) 
$\begin{array}{cccc}
\mathrm{p} & \mathrm{q} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{q}) \wedge \mathrm{t} \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$

Question 7

Write a statement that represents the relationship between the following.
-$A = \{ 7,8,9 \}$ and $B = \{ x \mid 7 \leq x \leq 9 , x \in N \}$

Accepted Answer

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

Question 8

Use a quantifier to make the following true or false, as indicated, where x is a natural number.
-$x - 13 = 13 - x$ (make false)

Accepted Answer

A)  There exists a natural number $x$ such that $x - 13 = 13 - x$. 
B)  At least one natural number $x$ exists such that $x - 13 = 13 - x$. 
C)  There is no natural number $x$ such that $x - 13 = 13 - x$. 
D)  For $x = 13 , x - 13 = 13 - x$. 
A)  There exists a natural number $x$ such that $x - 13 = 13 - x$. 
B)  At least one natural number $x$ exists such that $x - 13 = 13 - x$. 
C)  There is no natural number $x$ such that $x - 13 = 13 - x$. 
D)  For $x = 13 , x - 13 = 13 - x$.

Question 9

Determine whether the following is a statement. If it is, then also classify the statement as true or false.
-Can you bring the book?

Accepted Answer

A) False statement 
B) True statement 
C) Not a statement 
A) False statement 
B) True statement 
C) Not a statement

Question 10

Construct a truth table for the statement.
-$\sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})$

Accepted Answer

A) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
B) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
C) 
  
D) 
$\begin{array}{lll}
\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
A) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$ 
B) 
$\begin{array}{ccc}
\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$ 
C) 
  
D) 
$\begin{array}{lll}
\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$

Question 11

Restate in a logically equivalent form.
-It is not tasty or it is not sour.

Accepted Answer

A) If it is sour, then it is tasty. 
B) It is not true that it is both tasty and sour. 
C) If it is not tasty, then it is not sour. 
D) If it is tasty, then it is sour. 
A) If it is sour, then it is tasty. 
B) It is not true that it is both tasty and sour. 
C) If it is not tasty, then it is not sour. 
D) If it is tasty, then it is sour.

Question 12

Write the statement indicated.
-State the inverse of the following: If it is snowy, then it is cold.

Accepted Answer

A) If it is snowy, then it is not cold. 
B) If it is cold, then it is snowy. 
C) If it is not snowy, then it is not cold. 
D) If it is not cold, then it is not snowy. 
A) If it is snowy, then it is not cold. 
B) If it is cold, then it is snowy. 
C) If it is not snowy, then it is not cold. 
D) If it is not cold, then it is not snowy.

Question 13

Write a statement that represents the relationship between the following.
-$A = \{ x \mid x$ is a letter from the word "garage" $\}$ and $B = \{ y \mid y$ is a letter from the word "rage" $\}$

Accepted Answer

A)  $\mathrm { A } \in \mathrm { B }$ 
B)  $A \subset B$ 
C)  $A = B$ 
D)  $\mathrm { A } \neq \mathrm { B }$ 
A)  $\mathrm { A } \in \mathrm { B }$ 
B)  $A \subset B$ 
C)  $A = B$ 
D)  $\mathrm { A } \neq \mathrm { B }$

Question 14

Write a statement that represents the relationship between the following.
-$A = \{ b , f , n , t , e , r \}$ and $r$

Accepted Answer

A)  $\mathrm { r } \subset \mathrm { A }$ 
B)  $r \subseteq A$ 
C)  $\mathrm { r } \in \mathrm { A }$ 
D)  $\mathrm { r } = \mathrm { A }$ 
A)  $\mathrm { r } \subset \mathrm { A }$ 
B)  $r \subseteq A$ 
C)  $\mathrm { r } \in \mathrm { A }$ 
D)  $\mathrm { r } = \mathrm { A }$

Question 15

Is it possible or not possible to set up a one-to-one correspondence between {0} and {333}?

Accepted Answer

A) Possible 
B) Not possible 
A) Possible 
B) Not possible

Question 16

Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form.
-If I exercise, then I won't eat too much.

Accepted Answer

A)  $\sim ( \mathrm { p } \rightarrow \mathrm { q } )$ 
B)  $r \wedge p$ 
C)  $p \rightarrow q$ 
D)  $q \rightarrow \sim p$ 
A)  $\sim ( \mathrm { p } \rightarrow \mathrm { q } )$ 
B)  $r \wedge p$ 
C)  $p \rightarrow q$ 
D)  $q \rightarrow \sim p$

Question 17

Write a valid conclusion based on the statements.
-All birds have wings. None of my pets are birds. All animals with wings can flap them.

Accepted Answer

A) No birds can flap their wings. 
B) All my pets can flap their wings. 
C) All birds can flap their wings. 
D) None of my pets can flap their wings. 
A) No birds can flap their wings. 
B) All my pets can flap their wings. 
C) All birds can flap their wings. 
D) None of my pets can flap their wings.

Question 18

Solve the problem.
-Draw a Venn diagram showing the relationship between beverages and soft drinks.

Accepted Answer

The answer of Solve the problem.
-Draw a Venn diagram showing...

Question 19

Do the following represent equal sets?
-{7, 7, 12, 12, 15} = {7, 12, 15}

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 20

Determine whether the statements are logically equivalent.
-$\mathrm { q } \wedge \sim \mathrm { p }$ and $\sim \mathrm { p } \rightarrow \sim \mathrm { q }$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Construct a truth table for the statement. - $\sim p \wedge \sim s$

Write the statement indicated. -State the converse of the following: If the four sides of a rectangle are equal, then it is a square.

Construct a truth table for the statement. - $\sim ( \sim ( \mathrm { s } \vee \mathrm { p } ) )$

Write in if-then form. -I will go to class only if you go.

Determine whether the statements are logically equivalent. - $\sim ( \sim q )$ and $q$

Construct a truth table for the statement. - $(p \wedge \sim q) \wedge t$

Write a statement that represents the relationship between the following. - $A = \{ 7,8,9 \}$ and $B = \{ x \mid 7 \leq x \leq 9 , x \in N \}$

Use a quantifier to make the following true or false, as indicated, where x is a natural number. - $x - 13 = 13 - x$ (make false)

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -Can you bring the book?

Construct a truth table for the statement. - $\sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})$

Restate in a logically equivalent form. -It is not tasty or it is not sour.

Write the statement indicated. -State the inverse of the following: If it is snowy, then it is cold.

Write a statement that represents the relationship between the following. - $A = \{ x \mid x$ is a letter from the word "garage" $\}$ and $B = \{ y \mid y$ is a letter from the word "rage" $\}$

Write a statement that represents the relationship between the following. - $A = \{ b , f , n , t , e , r \}$ and $r$

Is it possible or not possible to set up a one-to-one correspondence between {0} and {333}?

Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form. -If I exercise, then I won't eat too much.

Write a valid conclusion based on the statements. -All birds have wings. None of my pets are birds. All animals with wings can flap them.

Solve the problem. -Draw a Venn diagram showing the relationship between beverages and soft drinks.

Do the following represent equal sets? -{7, 7, 12, 12, 15} = {7, 12, 15}

Determine whether the statements are logically equivalent. - $\mathrm { q } \wedge \sim \mathrm { p }$ and $\sim \mathrm { p } \rightarrow \sim \mathrm { q }$

An Introduction to Problem Solving

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

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Data Analysisstatistics: an Introduction

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Exam 2: Introduction to Logic and Sets

Construct a truth table for the statement. - ∼p∧∼s\sim p \wedge \sim s∼p∧∼s

Write the statement indicated. -State the converse of the following: If the four sides of a rectangle are equal, then it is a square.

Construct a truth table for the statement. - ∼(∼(s∨p))\sim ( \sim ( \mathrm { s } \vee \mathrm { p } ) )∼(∼(s∨p))

Write in if-then form. -I will go to class only if you go.

Determine whether the statements are logically equivalent. - ∼(∼q)\sim ( \sim q )∼(∼q) and qqq

Construct a truth table for the statement. - (p∧∼q)∧t(p \wedge \sim q) \wedge t(p∧∼q)∧t

Write a statement that represents the relationship between the following. - A={7,8,9}A = \{ 7,8,9 \}A={7,8,9} and B={x∣7≤x≤9,x∈N}B = \{ x \mid 7 \leq x \leq 9 , x \in N \}B={x∣7≤x≤9,x∈N}

Use a quantifier to make the following true or false, as indicated, where x is a natural number. - x−13=13−xx - 13 = 13 - xx−13=13−x (make false)

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -Can you bring the book?

Construct a truth table for the statement. - ∼(s∨t)∧∼(t∧s)\sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})∼(s∨t)∧∼(t∧s)

Restate in a logically equivalent form. -It is not tasty or it is not sour.

Write the statement indicated. -State the inverse of the following: If it is snowy, then it is cold.

Write a statement that represents the relationship between the following. - A={x∣xA = \{ x \mid xA={x∣x is a letter from the word "garage" }\}} and B={y∣yB = \{ y \mid yB={y∣y is a letter from the word "rage" }\}}

Write a statement that represents the relationship between the following. - A={b,f,n,t,e,r}A = \{ b , f , n , t , e , r \}A={b,f,n,t,e,r} and rrr

Is it possible or not possible to set up a one-to-one correspondence between {0} and {333}?

Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form. -If I exercise, then I won't eat too much.

Write a valid conclusion based on the statements. -All birds have wings. None of my pets are birds. All animals with wings can flap them.

Solve the problem. -Draw a Venn diagram showing the relationship between beverages and soft drinks.

Do the following represent equal sets? -{7, 7, 12, 12, 15} = {7, 12, 15}

Determine whether the statements are logically equivalent. - q∧∼p\mathrm { q } \wedge \sim \mathrm { p }q∧∼p and ∼p→∼q\sim \mathrm { p } \rightarrow \sim \mathrm { q }∼p→∼q

An Introduction to Problem Solving

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

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Construct a truth table for the statement. - $\sim p \wedge \sim s$

Construct a truth table for the statement. - $\sim ( \sim ( \mathrm { s } \vee \mathrm { p } ) )$

Determine whether the statements are logically equivalent. - $\sim ( \sim q )$ and $q$

Construct a truth table for the statement. - $(p \wedge \sim q) \wedge t$

Write a statement that represents the relationship between the following. - $A = \{ 7,8,9 \}$ and $B = \{ x \mid 7 \leq x \leq 9 , x \in N \}$

Use a quantifier to make the following true or false, as indicated, where x is a natural number. - $x - 13 = 13 - x$ (make false)

Construct a truth table for the statement. - $\sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})$

Write a statement that represents the relationship between the following. - $A = \{ x \mid x$ is a letter from the word "garage" $\}$ and $B = \{ y \mid y$ is a letter from the word "rage" $\}$

Write a statement that represents the relationship between the following. - $A = \{ b , f , n , t , e , r \}$ and $r$

Determine whether the statements are logically equivalent. - $\mathrm { q } \wedge \sim \mathrm { p }$ and $\sim \mathrm { p } \rightarrow \sim \mathrm { q }$