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Write the converse, inverse, and contrapositive of the following statement. "If it snows, then they do not drive the car" - Mathematics and Statistics

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प्रश्न

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

"If it snows, then they do not drive the car"

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उत्तर

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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पाठ 1.1: Mathematical Logic - Long Answers II
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