#### Question

Write the converse, inverse and contrapositive of the following statement.

“If it rains then the match will be cancelled.”

#### Solution

Let

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.

Is there an error in this question or solution?

#### APPEARS IN

Solution Write the Converse, Inverse and Contrapositive of the Following Statement Concept: Mathematical Logic - Sentences and Statement in Logic.