Exploring Converse, Inverse, and Contrapositive Statements

What is the hypothesis in the conditional statement 'If you live in Los Angeles, then you live in California'?

• Living in San Francisco

• Living in Sacramento

• Living in Los Angeles

• Living in California

Which symbol represents the negation of a statement?

• ¬

• →

• ∨

• ∧

Tags

CCSS.HSS.CP.A.1

What is the converse of the statement 'If you live in Los Angeles, then you live in California'?

• If you don't live in California, then you don't live in Los Angeles

• If you don't live in Los Angeles, then you don't live in California

• If you live in Los Angeles, then you live in California

• If you live in California, then you live in Los Angeles

Is the converse of the statement 'If you live in Los Angeles, then you live in California' true or false?

• True

• False

• Cannot be determined

• Depends on the context

What is the inverse of the statement 'If you live in Los Angeles, then you live in California'?

• If you don't live in Los Angeles, then you don't live in California

• If you don't live in California, then you don't live in Los Angeles

• If you live in California, then you live in Los Angeles

• If you live in Los Angeles, then you live in California

Is the inverse of the statement 'If you live in Los Angeles, then you live in California' true or false?

• Depends on the context

• True

• False

• Cannot be determined

What is the contrapositive of the statement 'If you live in Los Angeles, then you live in California'?

• If you live in California, then you live in Los Angeles

• If you don't live in Los Angeles, then you don't live in California

• If you don't live in California, then you don't live in Los Angeles

• If you live in Los Angeles, then you live in California

Is the contrapositive of the statement 'If you live in Los Angeles, then you live in California' true or false?

• Depends on the context

• Cannot be determined

• False

• True

What is a biconditional statement?

• A statement that is true only if the inverse is true

• A statement that is true only if both the conditional and converse are true

• A statement that is true only if the contrapositive is true

• A statement that is always true

What is the contrapositive of the statement 'If I am hungry, then I will eat pizza'?

• If I am not hungry, then I will not eat pizza

• If I don't eat pizza, then I am not hungry

• If I eat pizza, then I am hungry

• If I will not eat pizza, then I am not hungry