Related Conditionals

Front

What is the contrapositive of the statement: If you are 13, then you are a teenager?

Back

If you are not a teenager, then you are not 13.

Front

What is the converse of the statement: If you are 13, then you are a teenager?

Back

If you are a teenager, then you are 13.

Front

What is the inverse of the statement: If you play the guitar, then you are a musician?

Back

If you do not play the guitar, then you are not a musician.

Front

What is a statement that contains the phrase 'if and only if'?

Back

Biconditional.

Front

What is the negation of the statement: It is Valentine's Day?

Back

It is not Valentine's Day.

Front

Define contrapositive in logic.

Back

The contrapositive of a statement 'If p, then q' is 'If not q, then not p'.

Front

Define converse in logic.

Back

The converse of a statement 'If p, then q' is 'If q, then p'.

Front

Define inverse in logic.

Back

The inverse of a statement 'If p, then q' is 'If not p, then not q'.

Front

What is a biconditional statement?

Back

A biconditional statement is true if both parts are either true or false, expressed as 'p if and only if q'.

Front

What is the logical form of a conditional statement?

Back

A conditional statement has the form 'If p, then q'.