1.1 Intro to Logic Assignment

1) Given the following conditional statement, what is the hypothesis?

"If I can fly, then I am a bird"

• If I can fly, then I am a bird

• I am a bird

• I can fly

• None of the above

2) Given: p= I can't dance and q=I will not go to the dance

What is the conclusion?

• If I can't dance, then I will not go to the dance

• I can't dance

• I will not go to the dance

• None of the above

3) Given the conditional statement:

"If Ms. Simmons is at a BBQ, then she will have a hamburger."

What is the converse to the conditional statement?

• If Ms. Simmons is not a BBQ, then she will not have a hamburger.

• If Ms. Simmons does not have a hamburger, then she is not at a BBQ.

• If Ms. Simmons is not a a BBQ, then she will have a hamburger.

• If Ms. Simmons has a hamburger, then she is at a BBQ.

4) Given the conditional statement:

"If Ms. Simmons is at a BBQ, then she will have a hamburger."

What is the inverse to the conditional statement?

• If Ms. Simmons is not a BBQ, then she will not have a hamburger.

• If Ms. Simmons does not have a hamburger, then she is not at a BBQ.

• If Ms. Simmons is not a a BBQ, then she will have a hamburger.

• If Ms. Simmons has a hamburger, then she is at a BBQ.

5) Given the following conditional statement: "If Sally is at the park, then she will fall off the swing"

What is the contrapositive?

• If Sally falls off the swing, then she is at the park.

• If sally does not fall off the swing, then Sally is not at the park.

• If Sally is not at the park, then she will not fall off the swing.

• If Sally does not fall off the swing, then Sally is at the park.

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."

• $a\longrightarrow b$

• $b\longrightarrow a$

• $a\longrightarrow\sim b$

• $\sim b\longrightarrow a$

7) If a represents "Two angles are vertical angles" and b represents "The angles are congruent" which symbols best represent the statement "If two angles are not congruent, then the angles are not vertical angles."

• $a\longrightarrow b$

• $\sim a\longrightarrow\sim b$

• $b\longrightarrow a$

• $\sim b\longrightarrow\sim a$

8) Conditional: If it does not rain today, then we will have practice.

What is this statement called: If it rains today, then we will not have practice.

• Converse

• Inverse

• Contrapositive

• Negation

9) Which statement is the converse of the given statement?

If you make an insurance claim, then your rates will go up.

• If your insurance rates do not go up , then you have not maid a claim.

• If your insurance rates go up, then you have made an insurance claim.

• If you do not make an insurance claim, then your rates will not go up.

• If you make an insurance claim, then your rates will not go up.

10) Which statement is the contrapositive of the given statement?

If a person is a banjo player, then the person is a musician.

• If a person is not a musician, then the person is not a banjo player.

• If a person is not a banjo player, then the person is not a musician.

• If a person is not a banjo player, then the person is a musician.

• If a person is a musician, then the person is a banjo player.