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Write the contrapositive of the followin...

Write the contrapositive of the following statements :
If the weather is cold, then it will snow.

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To find the contrapositive of the statement "If the weather is cold, then it will snow," we will follow these steps: ### Step 1: Identify the components of the statement The given statement is in the form "If P, then Q," where: - P: The weather is cold. - Q: It will snow. ### 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): The weather is not cold. - Negation of Q (¬Q): It will not snow. ### Step 3: Formulate the contrapositive The contrapositive of the statement "If P, then Q" is "If not Q, then not P." Therefore, we can write the contrapositive as: - If it will not snow (¬Q), then the weather is not cold (¬P). ### Final Answer The contrapositive of the statement "If the weather is cold, then it will snow" is: "If it will not snow, then the weather is not cold." ---
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