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Determine the contrapositive of the fol...

Determine the contrapositive of the following statements: If it snows, then they do not drive the car.

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To determine the contrapositive of the statement "If it snows, then they do not drive the car," we can follow these steps: ### Step 1: Identify the components of the statement The given statement is in the form "If P, then Q," where: - P: "It snows" - Q: "They do not drive the car" ### Step 2: Write the negations of P and Q Next, we need to find the negations of both P and Q: - Negation of P (¬P): "It does not snow" - Negation of Q (¬Q): "They drive the car" ### Step 3: Formulate the contrapositive The contrapositive of the statement "If P, then Q" is "If ¬Q, then ¬P." Therefore, we can write: - If they drive the car (¬Q), then it does not snow (¬P). ### Step 4: Write the contrapositive in words Putting it all together, the contrapositive of the original statement is: "If they drive the car, then it does not snow." ### Final Answer The contrapositive of the statement "If it snows, then they do not drive the car" is: "If they drive the car, then it does not snow." ---
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