Conditional Statements and Truth Values

The ​ ​ (a)   switches the hypothesis and conclusion of the ​ (b)   .

• Converse
• Conditional Statement
• Negation
• Inverse
• Contrapositive

• Inverse
• Conditional Statement
• Contrapositive
• Converse
• Negation

• false
• true
• cannot be determine

• true
• cannot be determine
• false

• true
• false
• cannot be determine

• If you live close to the Gulf of Mexico, then you live in Alabama.

• If you do not live in Alabama, then you do not live close to the Gulf of Mexico.

• If you do not live near the Gulf of Mexico, then you do not live in Alabama.

• If you live in alabama, then you do not live close to the Gulf of Mexico.

Read the conditional statement below:

"If you live in Alabama, then you live close to the Gulf of Mexico"

What is the overall truth value of the conditional statement?

• True

• False

• Cannot Determine

Answer explanation

While you can live in alabama, it says you live close to the Gulf of Mexico.

If a person lives in Athens, that is a town not close to the Gulf of Mexico.

• True

• False

• Cannot be Determined

Answer explanation

This is true, because if the temperature is not 25, then it can not be a below freezing temperature.

• True

• False

• Cannot be Determined

Answer explanation

This is false. The temperature could be 20, 19, or even 30.

Any temperature below 32 degrees fahrenheit.

• True

• False

• Cannot be Determined

Answer explanation

This is false. It could be Sunday, and no school.