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

Answer

To translate the statement "If I will not marry her, then she is not beautiful" into symbolic form, we will follow these steps:

1. **Identify the Statements**:
- Let \( p \) represent "I will marry her."
- Let \( q \) represent "She is beautiful."

2. **Determine the Negations**:
- The negation of \( p \) (not marrying her) is represented as \( \neg p \), which translates to "I will not marry her."
- The negation of \( q \) (not being beautiful) is represented as \( \neg q \), which translates to "She is not beautiful."

3. **Translate the Conditional Statement**:
- The statement "If I will not marry her, then she is not beautiful" can be expressed in logical terms as:
- "If \( \neg p \), then \( \neg q \)."
- In symbolic form, this is written as:
\[ \neg p \implies \neg q \]

Thus, the symbolic form of the statement is \( \neg p \implies \neg q \).