HW 2.4

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'p if and only if q', meaning both p and q are true.

Front

When can a biconditional statement be true?

Back

A biconditional statement is true when both the original conditional statement and its converse are true.

Front

What is the definition of a true biconditional?

Back

A true biconditional is a statement that is true in both directions, meaning both the original statement and its converse are true.

Front

Can a biconditional statement be formed from 'If I score at least 70%, then I passed'?

Back

Yes, it can be written as 'I passed if and only if I score at least 70%'.

Front

Can a biconditional statement be formed from 'If an animal is a bird, then it can fly'?

Back

No, because not all birds can fly, so the converse is not true.

Front

What is the converse of a conditional statement?

Back

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

Front

What is the contrapositive of a conditional statement?

Back

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

Front

What is a conditional statement?

Back

A conditional statement is an 'if-then' statement that expresses a relationship between two propositions.

Front

What is the inverse of a conditional statement?

Back

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

Front

What is an example of a true biconditional statement?

Back

An example is 'An angle is a right angle if and only if it has 90 degrees'.