Question

Conditional statement: If I am hungry, Then I will eat pizza. What is the converse, inverse, and contrapositive?

True
False

Answer 1

The converse of a conditional statement is 'if q, then p.' The inverse of a conditional statement is 'if not p, then not q.' The contrapositive of a conditional statement is 'if not q, then not p.'

Step-by-step explanation:

A conditional statement is typically written as 'if p, then q.' The converse of a conditional statement is 'if q, then p.' The inverse of a conditional statement is 'if not p, then not q.'

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

For example, if the conditional statement is 'If I am hungry, then I will eat pizza,' then the converse is 'If I will eat pizza, then I am hungry,' the inverse is 'If I am not hungry, then I will not eat pizza,' and the contrapositive is 'If I will not eat pizza, then I am not hungry.'