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Let p and q be two statements p: It is h...

Let p and q be two statements p: It is hot. q: It is summer. Then meaning of p∨q

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To solve the problem, we need to analyze the logical expression \( p \lor q \), where: - \( p \): It is hot. - \( q \): It is summer. The symbol \( \lor \) represents the logical operator "or". ### Step-by-Step Solution: 1. **Identify the Statements**: - We have two statements: - \( p \): "It is hot." - \( q \): "It is summer." 2. **Understand the Logical Operator**: - The symbol \( \lor \) stands for "or". In logical terms, \( p \lor q \) means that at least one of the statements \( p \) or \( q \) is true. 3. **Construct the Meaning of \( p \lor q \)**: - The expression \( p \lor q \) can be interpreted as: - "It is hot or it is summer." - This means that either: - It is hot (true), or - It is summer (true), or - Both can be true. 4. **Conclusion**: - Therefore, the meaning of \( p \lor q \) is that at least one of the conditions (it being hot or it being summer) is satisfied. ### Final Answer: The meaning of \( p \lor q \) is: "It is hot or it is summer."
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