Let p, and q be 2 statements. Consider the conditional p⇒q (that is, if p then q).
i) The converse of the statement is q⇒p.
ii). The inverse of the statement is ¬p⇒¬q.
iii). The contrapositive of the statement is ¬q⇒¬p.
Let p: it is October 31, and let q: it is Halloween.
The converse of the conditional p⇒q is q⇒p:
If it is Halloween, then it is October 31.
The inverse is ¬p⇒¬q:
If it is not October 31, then it is not Halloween.
The contrapositive ¬q⇒¬p is:
If it is not Halloween, then it is not October 31.