Write the converse, inverse and contrapositive of the following statement. “If it rains then the match will be cancelled.”
p : It rains,
q : the match will be cancelled.
The symbolic form of the given statement is p → q. Converse: q → p i.e., If the match is cancelled then it rains. Inverse: ~p → ~q i.e., If it does not rain then the match will not be cancelled. Contrapositive: ~q → ~p i.e. If the match is not cancelled then it does not rain.