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Write doen the negation of the It is r...

Write doen the negation of the
It is raining and it is cool.

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To find the negation of the statement "It is raining and it is cool," we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Components of the Statement**: - Let \( p \) represent the statement "It is raining." - Let \( q \) represent the statement "It is cool." - The original statement can be expressed as \( p \land q \) (p and q). 2. **Apply the Negation**: - The negation of a conjunction \( p \land q \) can be expressed using De Morgan's Laws. According to De Morgan's Laws, the negation of \( p \land q \) is \( \neg p \lor \neg q \) (not p or not q). 3. **Write the Negated Statements**: - The negation of \( p \) ("It is raining") is \( \neg p \): "It is not raining." - The negation of \( q \) ("It is cool") is \( \neg q \): "It is not cool." 4. **Combine the Negated Statements**: - Using the results from step 3, we can now write the negation of the original statement: - "It is not raining or it is not cool." ### Final Answer: The negation of the statement "It is raining and it is cool" is: "It is not raining or it is not cool."
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