Exercise 1.8 (3)

3. Write the converse, inverse and contrapositive of the following statements.
i) If it snows, then they do not drive the car.
Ans:  
Let p : It Snows. 
      q : They do not drive the car. 
∴ The given Statement in symbolic form is p → q. 
It’s Converse is q → p .
∴ If they do not drive the car then it snows.
Its Inverse is ~p →~q.
∴If it does not snow then they drive the car.
Its Contrapositive is ~q →~p
∴ If they drive the car then it does not snows.

ii) If he studies, then he will go to college.
Ans:
Let p : He studies
      q : He will go to college
∴ then given statement in Symbolic form is  q→p
It’s Converse is q→p.
∴ If he go to college then he studies.
Its Inverse is ~p →~q.
If he does not study then he will not go to college.
Its Contrapositive is ~q →~p
If he will not go to college then he does not study.