Question 1

Determine whether the following is a statement. If it is, then also classify the statement as true or false.
-2.4 = 5.2

Accepted Answer

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

Question 2

Is it possible or not possible to set up a one-to-one correspondence between {a, b, c, d} and {A, B, C, D}?

Accepted Answer

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

Question 3

Write a valid conclusion based on the statements.
-If you pay your taxes, then you are a good citizen. People who do not pay their taxes did not receive a tax bill. If it is April, then you will receive a tax bill. It is April.

Accepted Answer

A) You did not receive a tax bill. 
B) You did not pay your taxes. 
C) You are a good citizen. 
D) You are not a good citizen. 
A) You did not receive a tax bill. 
B) You did not pay your taxes. 
C) You are a good citizen. 
D) You are not a good citizen.

Question 4

There are five seats available for a show. Ten people are in the line for the tickets to these seats. Illustrate the utility of one-to-one correspondence with this example.

Accepted Answer

Each seat corresponds to one p

Question 5

Provide an appropriate response.
-Is the set of good software packages in the market well-defined?

Accepted Answer

No, since

Question 6

Determine whether the following is a statement. If it is, then also classify the statement as true or false.
-7x + y = 3

Accepted Answer

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

Question 7

Determine whether the following is a statement. If it is, then also classify the statement as true or false.
-$$12 = 3 \mathrm { y }$$

Accepted Answer

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

Question 8

Find n(A)for the set A.
-$A = \{ x \mid x$ is a second in a minute $\}$

Accepted Answer

A)  $n ( A ) = 60$ 
B)  $n ( A ) =$ Infinite 
C)  $n ( A ) = 12$ 
D)  $n ( A ) = 120$ 
A)  $n ( A ) = 60$ 
B)  $n ( A ) =$ Infinite 
C)  $n ( A ) = 12$ 
D)  $n ( A ) = 120$

Question 9

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

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

$$\text { Indicate which symbol, } \in \text { or } \notin \text { makes the statement true. }$$
-$27_{-} \left\{ x \mid x = 3 ^ { n } \right.$ and $\left. n \in N \right\}$

Accepted Answer

A)  $\notin$ 
B)  $\in$ 
A)  $\notin$ 
B)  $\in$

Question 12

Solve the problem.
-In how many ways can a girl choose a two-piece outfit from 5 blouses and 7 skirts?

Accepted Answer

A) 35 
B) 14 
C) 12 
D) 70 
A) 35 
B) 14 
C) 12 
D) 70

Question 13

Restate in a logically equivalent form.
-If it is clean, then it was washed.

Accepted Answer

A) If it is clean, then it was not washed. 
B) If it is not clean, then it was not washed. 
C) If it is clean, then it was washed. 
D) If it was not washed, then it is not clean. 
A) If it is clean, then it was not washed. 
B) If it is not clean, then it was not washed. 
C) If it is clean, then it was washed. 
D) If it was not washed, then it is not clean.

Question 14

Provide an appropriate response.
-$$\text { If } P \subseteq Q \text { and } Q \subseteq P \text {, then what can be said about the equality of the two sets? }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { If }...

Question 15

Write a statement that represents the relationship between the following.
-$C = \{ x \mid x$ is a letter of the alphabet $\}$ and $D = \{ x \mid x$ is a letter in the word math $\}$

Accepted Answer

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

Question 16

Find n(A)for the set A.
-$A = \{ x \mid x$ is a month in the year $\}$

Accepted Answer

A)  $n ( A ) = 52$ 
B)  $n ( A ) = 1$ 
C)  $n ( A ) = 24$ 
D)  $n ( A ) = 12$ 
A)  $n ( A ) = 52$ 
B)  $n ( A ) = 1$ 
C)  $n ( A ) = 24$ 
D)  $n ( A ) = 12$

Question 17

Is it possible or not possible to set up a one-to-one correspondence between  and {37}?

Accepted Answer

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

Question 18

Rewrite the statement using mathematical symbols.
-Q is equal to the set of letters in the word wed.

Accepted Answer

A)  $Q = \{ w , e , d \}$ 
B)  $Q \subset \{ w , e , d \}$ 
C)  $Q = \{ w , e , e , d \}$ 
D)  $Q \in \{ w , e , d \}$ 
A)  $Q = \{ w , e , d \}$ 
B)  $Q \subset \{ w , e , d \}$ 
C)  $Q = \{ w , e , e , d \}$ 
D)  $Q \in \{ w , e , d \}$

Question 19

Solve the problem.
-Draw a Venn diagram showing the relationship between fish and birds.

Accepted Answer

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

Question 20

Write the set as indicated.
-Write $\{ 8,12,16,20 , \ldots 48 \}$ using set-builder notation.

Accepted Answer

A)  $\{ x \mid x$ is a multiple of 4 between 4 and $52 \}$ 
B)  $\{ x \mid x$ is a multiple of $4 \}$ 
C)  $\{ x \mid x$ is a multiple of 4 between 8 and $48 \}$ 
D)  $\{ x \mid x$ is a multiple of 4 greater than $8 \}$ 
A)  $\{ x \mid x$ is a multiple of 4 between 4 and $52 \}$ 
B)  $\{ x \mid x$ is a multiple of $4 \}$ 
C)  $\{ x \mid x$ is a multiple of 4 between 8 and $48 \}$ 
D)  $\{ x \mid x$ is a multiple of 4 greater than $8 \}$

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -2.4 = 5.2

Is it possible or not possible to set up a one-to-one correspondence between {a, b, c, d} and {A, B, C, D}?

Write a valid conclusion based on the statements. -If you pay your taxes, then you are a good citizen. People who do not pay their taxes did not receive a tax bill. If it is April, then you will receive a tax bill. It is April.

There are five seats available for a show. Ten people are in the line for the tickets to these seats. Illustrate the utility of one-to-one correspondence with this example.

Provide an appropriate response. -Is the set of good software packages in the market well-defined?

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -7x + y = 3

Determine whether the following is a statement. If it is, then also classify the statement as true or false. - $12 = 3 \mathrm { y }$

Find n(A)for the set A. - $A = \{ x \mid x$ is a second in a minute $\}$

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

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

$\text { Indicate which symbol, } \in \text { or } \notin \text { makes the statement true. }$ - $27_{-} \left\{ x \mid x = 3 ^ { n } \right.$ and $\left. n \in N \right\}$

Solve the problem. -In how many ways can a girl choose a two-piece outfit from 5 blouses and 7 skirts?

Restate in a logically equivalent form. -If it is clean, then it was washed.

Provide an appropriate response. - $\text { If } P \subseteq Q \text { and } Q \subseteq P \text {, then what can be said about the equality of the two sets? }$

Write a statement that represents the relationship between the following. - $C = \{ x \mid x$ is a letter of the alphabet $\}$ and $D = \{ x \mid x$ is a letter in the word math $\}$

Find n(A)for the set A. - $A = \{ x \mid x$ is a month in the year $\}$

Is it possible or not possible to set up a one-to-one correspondence between  and {37}?

Rewrite the statement using mathematical symbols. -Q is equal to the set of letters in the word wed.

Solve the problem. -Draw a Venn diagram showing the relationship between fish and birds.

Write the set as indicated. -Write $\{ 8,12,16,20 , \ldots 48 \}$ using set-builder notation.

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

Filters

Exam 2: Introduction to Logic and Sets

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -2.4 = 5.2

Is it possible or not possible to set up a one-to-one correspondence between {a, b, c, d} and {A, B, C, D}?

Write a valid conclusion based on the statements. -If you pay your taxes, then you are a good citizen. People who do not pay their taxes did not receive a tax bill. If it is April, then you will receive a tax bill. It is April.

There are five seats available for a show. Ten people are in the line for the tickets to these seats. Illustrate the utility of one-to-one correspondence with this example.

Provide an appropriate response. -Is the set of good software packages in the market well-defined?

Determine whether the following is a statement. If it is, then also classify the statement as true or false. -7x + y = 3

Determine whether the following is a statement. If it is, then also classify the statement as true or false. - 12=3y12 = 3 \mathrm { y }12=3y

Find n(A)for the set A. - A={x∣xA = \{ x \mid xA={x∣x is a second in a minute }\}}

Determine whether the statements are logically equivalent. - ∼p∨∼q\sim \mathrm { p } \vee \sim \mathrm { q }∼p∨∼q and ∼(p∧q)\sim ( \mathrm { p } \wedge \mathrm { q } )∼(p∧q)

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

Solve the problem. -In how many ways can a girl choose a two-piece outfit from 5 blouses and 7 skirts?

Restate in a logically equivalent form. -If it is clean, then it was washed.

Write a statement that represents the relationship between the following. - C={x∣xC = \{ x \mid xC={x∣x is a letter of the alphabet }\}} and D={x∣xD = \{ x \mid xD={x∣x is a letter in the word math }\}}

Find n(A)for the set A. - A={x∣xA = \{ x \mid xA={x∣x is a month in the year }\}}

Is it possible or not possible to set up a one-to-one correspondence between  and {37}?

Rewrite the statement using mathematical symbols. -Q is equal to the set of letters in the word wed.

Solve the problem. -Draw a Venn diagram showing the relationship between fish and birds.

Write the set as indicated. -Write {8,12,16,20,…48}\{ 8,12,16,20 , \ldots 48 \}{8,12,16,20,…48} using set-builder notation.

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

Filters

Determine whether the following is a statement. If it is, then also classify the statement as true or false. - $12 = 3 \mathrm { y }$

Find n(A)for the set A. - $A = \{ x \mid x$ is a second in a minute $\}$

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

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

Write a statement that represents the relationship between the following. - $C = \{ x \mid x$ is a letter of the alphabet $\}$ and $D = \{ x \mid x$ is a letter in the word math $\}$

Find n(A)for the set A. - $A = \{ x \mid x$ is a month in the year $\}$

Write the set as indicated. -Write $\{ 8,12,16,20 , \ldots 48 \}$ using set-builder notation.