Logical Statements Review

What is this?

• Conditional
• Inverse
• Converse
• Contrapositive

Conditional: If Emily is not late to class, then she will not be marked tardy.

What is this? If Emily is late to class, then she will be marked tardy.

• Converse

• Inverse

• Contrapositive

• Negation

Identify the hypothesis of this conditional:
If Sally goes to the park, then she will fall off the swing.

• Sally goes to the park.
• Sally will fall off the swing.
• Parks don't have swings that Sally goes to.
• If Sally falls off the swing, she goes to the park.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

p→q
What is the converse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

Which of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."

• If you are not a guitar player, then you are not a musician.
• If you are a musician, then you are a guitar player.
• If you are a guitar player, then you are not a musician.
• If you are not a musician, then you are not a guitar player.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Which of the following is a biconditional statement?

• If you do not vote, then you are not at least 18 years old.
• You can vote if and only if you are 18 years old.
• If you are 18 years old, then you can vote.

What is the biconditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

• If Shelly lives in Texas, then she lives in the United States.
• If Shelly lives in the United States, then she lives in Texas.
• Shelly lives in Texas if and only if she lives in the United States.
• If Shelly does not live in Texas, then she does not live in the United States.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

When taking the inverse we _____________ the hypothesis and conclusion.

• negate
• switch
• switch and negate
• leave the same

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

What does this mean?

• Conditional 
• Inverse 
• Converse 
• Contrapositive