Question 1

Is the following sentence a statement?
Neither Ben nor Alonzo is going camping.

Accepted Answer

Yes.

Question 2

Let p = "Sally is three years old." Let q = "Sally's mom is thirty." Write the following statement in
words.

Accepted Answer

Sally is not three years old if and only if Sally's mom is not thirty.

Question 3

A new weight loss supplement claims that if you take this product daily and you cut your
Calorie intake by 10%, you will loose at least 10 pounds in the next 4 months.
Let p be "you take this product daily," q be "you cut your calorie intake by 10%," and r be "
You will lose at least 10 pounds in the next 4 months." Write the compound statement in symbolic
Form, using conjunctions and the conditional.

Accepted Answer

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

Question 4

Use De Morgan's laws to write the negation of the statement.
The bread is stale and it is hard.

Accepted Answer

A) The bread isn't stale and it is hard. 
B) The bread isn't stale and it is not hard. 
C) The bread isn't stale or it is not hard. 
D) The bread isn't stale or it is hard. 
A) The bread isn't stale and it is hard. 
B) The bread isn't stale and it is not hard. 
C) The bread isn't stale or it is not hard. 
D) The bread isn't stale or it is hard.

Question 5

Write the converse of the conditional statement.
If I get a speeding ticket, my parents do not pay for my insurance.

Accepted Answer

A) If my parents do not pay for my insurance, I get a speeding ticket. 
B) If I do not get a speeding ticket, my parents pay for my insurance. 
C) If I get a speeding ticket, my parents pay for my insurance. 
D) If my parents pay for my insurance, I do not get a speeding ticket. 
A) If my parents do not pay for my insurance, I get a speeding ticket. 
B) If I do not get a speeding ticket, my parents pay for my insurance. 
C) If I get a speeding ticket, my parents pay for my insurance. 
D) If my parents pay for my insurance, I do not get a speeding ticket.

Question 6

Draw an Euler circle diagram for the statement.
No math classes are easy.

Accepted Answer

The answer of Draw an Euler circle diagram for the...

Question 7

Let p = "Ed plays the guitar." Let q = "Ed plays the piano." Write the following statement in symbols.
It is not true that Ed does not play the guitar or Ed does not play the piano.

Accepted Answer

The answer of Let p = "Ed plays the guitar."...

Question 8

Determine if the two statements are logically equivalent, negations, or neither.

Accepted Answer

A) Logically equivalent 
B) Neither 
C) Negations 
A) Logically equivalent 
B) Neither 
C) Negations

Question 9

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in
symbols.
It is false that Daphne speaks Spanish and Daphne speaks French.

Accepted Answer

The answer of Let p = "Daphne speaks Spanish." Let...

Question 10

Complete a truth table for the following statement.

Accepted Answer

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

Question 11

Determine whether the argument is valid or invalid.

Accepted Answer

A) Valid 
B) Invalid 
A) Valid 
B) Invalid

Question 12

What are the values in the final column of the truth table below?

Accepted Answer

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

Question 13

Write the inverse of the conditional statement.
If I get a speeding ticket, my parents do not pay for my insurance.

Accepted Answer

A) If I get a speeding ticket, my parents pay for my insurance. 
B) If my parents pay for my insurance, I do not get a speeding ticket. 
C) If I do not get a speeding ticket, my parents pay for my insurance. 
D) If my parents do not pay for my insurance, I get a speeding ticket. 
A) If I get a speeding ticket, my parents pay for my insurance. 
B) If my parents pay for my insurance, I do not get a speeding ticket. 
C) If I do not get a speeding ticket, my parents pay for my insurance. 
D) If my parents do not pay for my insurance, I get a speeding ticket.

Question 14

Decide if the statement is simple or compound.
I will go with you if and only if we are on time.

Accepted Answer

The answer of Decide if the statement is simple or...

Question 15

Determine if the two statements are logically equivalent, negations, or neither.

Accepted Answer

A) Negations 
B) Logically equivalent 
C) Neither 
A) Negations 
B) Logically equivalent 
C) Neither

Question 16

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in
symbols.
Daphne speaks Spanish, or Daphne does not speak French.

Accepted Answer

The answer of Let p = "Daphne speaks Spanish." Let...

Question 17

Let p = "My homework is finished." Write the following statement in symbols.
My homework is not finished.

Accepted Answer

The answer of Let p = "My homework is finished."...

Question 18

Write the argument in symbols; then decide whether the argument is valid by using the common forms of valid
Arguments and fallacies.

Accepted Answer

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

Question 19

Determine whether the statement is a tautology, a self-contradiction, or neither.

Accepted Answer

A) Self-contradiction 
B) Neither 
C) Tautology 
A) Self-contradiction 
B) Neither 
C) Tautology

Question 20

Determine whether the statement is a tautology, a self-contradiction, or neither.

Accepted Answer

A) Self-contradiction 
B) Neither 
C) Tautology 
A) Self-contradiction 
B) Neither 
C) Tautology

Is the following sentence a statement? Neither Ben nor Alonzo is going camping.

Let p = "Sally is three years old." Let q = "Sally's mom is thirty." Write the following statement in words.

Use De Morgan's laws to write the negation of the statement. The bread is stale and it is hard.

Write the converse of the conditional statement. If I get a speeding ticket, my parents do not pay for my insurance.

Draw an Euler circle diagram for the statement. No math classes are easy.

Let p = "Ed plays the guitar." Let q = "Ed plays the piano." Write the following statement in symbols. It is not true that Ed does not play the guitar or Ed does not play the piano.

Determine if the two statements are logically equivalent, negations, or neither.

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in symbols. It is false that Daphne speaks Spanish and Daphne speaks French.

Complete a truth table for the following statement.

Determine whether the argument is valid or invalid.

What are the values in the final column of the truth table below?

Write the inverse of the conditional statement. If I get a speeding ticket, my parents do not pay for my insurance.

Decide if the statement is simple or compound. I will go with you if and only if we are on time.

Determine if the two statements are logically equivalent, negations, or neither.

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in symbols. Daphne speaks Spanish, or Daphne does not speak French.

Let p = "My homework is finished." Write the following statement in symbols. My homework is not finished.

Write the argument in symbols; then decide whether the argument is valid by using the common forms of valid Arguments and fallacies.

Determine whether the statement is a tautology, a self-contradiction, or neither.

Determine whether the statement is a tautology, a self-contradiction, or neither.

Problem Solving

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Exam 3: Logic

Is the following sentence a statement? Neither Ben nor Alonzo is going camping.

Let p = "Sally is three years old." Let q = "Sally's mom is thirty." Write the following statement in words.

Use De Morgan's laws to write the negation of the statement. The bread is stale and it is hard.

Write the converse of the conditional statement. If I get a speeding ticket, my parents do not pay for my insurance.

Draw an Euler circle diagram for the statement. No math classes are easy.

Let p = "Ed plays the guitar." Let q = "Ed plays the piano." Write the following statement in symbols. It is not true that Ed does not play the guitar or Ed does not play the piano.

Determine if the two statements are logically equivalent, negations, or neither.

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in symbols. It is false that Daphne speaks Spanish and Daphne speaks French.

Complete a truth table for the following statement.

Determine whether the argument is valid or invalid.

What are the values in the final column of the truth table below?

Write the inverse of the conditional statement. If I get a speeding ticket, my parents do not pay for my insurance.

Decide if the statement is simple or compound. I will go with you if and only if we are on time.

Determine if the two statements are logically equivalent, negations, or neither.

Let p = "Daphne speaks Spanish." Let q = "Daphne speaks French." Write the following statement in symbols. Daphne speaks Spanish, or Daphne does not speak French.

Let p = "My homework is finished." Write the following statement in symbols. My homework is not finished.

Write the argument in symbols; then decide whether the argument is valid by using the common forms of valid Arguments and fallacies.

Determine whether the statement is a tautology, a self-contradiction, or neither.

Determine whether the statement is a tautology, a self-contradiction, or neither.

Problem Solving

Sets

Numeration Systems

The Real Number System

Topics in Algebra

Consumer Mathematics

Measurement

Geometry

Probability and Counting Techniques

Statistics

Voting Methods

Graph Theory

Available Online: Other Mathematical Systems

Filters