Question 1

Use a truth table to determine whether the argument is valid.

Accepted Answer

The answer of Use a truth table to determine whether...

Question 2

Let p = "I am late for work." and q = "I had a flat tire." Under what circumstances would the
Conjunction   be true?

Accepted Answer

A) If you had a flat tire. 
B) If you were late to work and had a flat tire. 
C) If you were late to work. 
D) If you were late to work or had a flat tire. 
A) If you had a flat tire. 
B) If you were late to work and had a flat tire. 
C) If you were late to work. 
D) If you were late to work or had a flat tire.

Question 3

Determine whether the argument is valid or invalid.

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

Accepted Answer

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

Question 6

Complete the following truth table.

Accepted Answer

The answer of Complete the following truth table.  ...

Question 7

Let p = "I am hungry." Let q = "I am going to have a snack." Write the following statement in
words.

Accepted Answer

I am not hungry; and

Question 8

Identify the statement as a conjunction, disjunction, conditional, or biconditional.
Rory will go to Yale, or she will go to Harvard.

Accepted Answer

A) Conditional 
B) Biconditional 
C) Disjunction 
D) Conjunction 
A) Conditional 
B) Biconditional 
C) Disjunction 
D) Conjunction

Question 9

Draw an Euler circle diagram for the statement.
Some teachers are nice people.

Accepted Answer

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

Question 10

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

Accepted Answer

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

Question 11

Complete the following truth table.

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

Complete the following truth table for the statement   .

Accepted Answer

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

Question 14

Write the contrapositive of the conditional statement.
I will wear the blue dress if I get invited to prom.

Accepted Answer

A) If I wear the blue dress then I will get invited to the prom 
B) If I don't get invited to prom, then I won't wear the blue dress. 
C) If I don't wear the blue dress, then I won't get invited to the prom. 
D) If I don't wear the blue dress, then I will get invited to the prom. 
A) If I wear the blue dress then I will get invited to the prom 
B) If I don't get invited to prom, then I won't wear the blue dress. 
C) If I don't wear the blue dress, then I won't get invited to the prom. 
D) If I don't wear the blue dress, then I will get invited to the prom.

Question 15

Write the negation of the statement.
The dog is spotted.

Accepted Answer

The dog is

Question 16

Let p = "Paolo bicycles to school." Let q = "Roberto drives to school." Write the following statement
in symbols.
Roberto drives to school if and only if Paolo bicycles to school.

Accepted Answer

The answer of Let p = "Paolo bicycles to school."...

Question 17

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

Accepted Answer

Sally is three years

Question 18

Identify the quantifier in the statement as either universal or existential.
There is a hair in my soup.

Accepted Answer

A) Universal 
B) Existential 
A) Universal 
B) Existential

Question 19

Let p = "Greg is in my history class." Let q = "Lew is in my Spanish class." Write the following
statement in words.

Accepted Answer

If Lew is not in my

Question 20

Find the converse of the statement.

Accepted Answer

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

Use a truth table to determine whether the argument is valid.

Let p = "I am late for work." and q = "I had a flat tire." Under what circumstances would the Conjunction be true?

Determine whether the argument is valid or invalid.

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

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

Complete the following truth table.

Let p = "I am hungry." Let q = "I am going to have a snack." Write the following statement in words.

Identify the statement as a conjunction, disjunction, conditional, or biconditional. Rory will go to Yale, or she will go to Harvard.

Draw an Euler circle diagram for the statement. Some teachers are nice people.

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

Complete the following truth table.

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

Complete the following truth table for the statement .

Write the contrapositive of the conditional statement. I will wear the blue dress if I get invited to prom.

Write the negation of the statement. The dog is spotted.

Let p = "Paolo bicycles to school." Let q = "Roberto drives to school." Write the following statement in symbols. Roberto drives to school if and only if Paolo bicycles to school.

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

Identify the quantifier in the statement as either universal or existential. There is a hair in my soup.

Let p = "Greg is in my history class." Let q = "Lew is in my Spanish class." Write the following statement in words.

Find the converse of the statement.

Problem Solving

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Exam 3: Logic

Use a truth table to determine whether the argument is valid.

Let p = "I am late for work." and q = "I had a flat tire." Under what circumstances would the Conjunction be true?

Determine whether the argument is valid or invalid.

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

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

Complete the following truth table.

Let p = "I am hungry." Let q = "I am going to have a snack." Write the following statement in words.

Identify the statement as a conjunction, disjunction, conditional, or biconditional. Rory will go to Yale, or she will go to Harvard.

Draw an Euler circle diagram for the statement. Some teachers are nice people.

Determine whether the following argument is valid, using the given forms of valid arguments and fallacies.

Complete the following truth table.

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

Complete the following truth table for the statement .

Write the contrapositive of the conditional statement. I will wear the blue dress if I get invited to prom.

Write the negation of the statement. The dog is spotted.

Let p = "Paolo bicycles to school." Let q = "Roberto drives to school." Write the following statement in symbols. Roberto drives to school if and only if Paolo bicycles to school.

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

Identify the quantifier in the statement as either universal or existential. There is a hair in my soup.

Let p = "Greg is in my history class." Let q = "Lew is in my Spanish class." Write the following statement in words.

Find the converse of the statement.

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