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Let p: I will marry her, and let q: she ...

Let p: I will marry her, and let q: she is beautiful.
Translate into symbolic form: If she is beautiful then I will not marry her.

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To translate the statement "If she is beautiful then I will not marry her" into symbolic form using the given definitions, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Statements**: - Let \( p \): "I will marry her" - Let \( q \): "She is beautiful" 2. **Understand the Implication**: - The statement we need to translate is "If she is beautiful then I will not marry her". In logical terms, this can be represented as an implication. 3. **Translate the Statement**: - The phrase "If she is beautiful" corresponds to \( q \). - The phrase "I will not marry her" corresponds to the negation of \( p \), which is represented as \( \neg p \). 4. **Formulate the Implication**: - Therefore, the entire statement "If she is beautiful then I will not marry her" can be expressed in symbolic form as: \[ q \rightarrow \neg p \] ### Final Answer: The symbolic form of the statement "If she is beautiful then I will not marry her" is: \[ q \rightarrow \neg p \] ---
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