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Question
Write the converse, inverse, and contrapositive of the following statement.
"If it snows, then they do not drive the car"
Solution
Let p: It snows.
q: They do not drive the car.
∴ The given statement is p → q.
Its 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 snow.
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