If p `-=` "She goes to market" and
q `-=` "She buys some fruits".
then choose the correct symbol for the given statement :
She does not go to market unless she buys some fruits :

Options

A. `p implies q`
B. `q implies p`
C. `~| q implies ~| p`
D. `p vv q`

Answer

To solve the problem, we need to translate the given statement "She does not go to market unless she buys some fruits" into a logical expression using the symbols \( p \) and \( q \).

### Step-by-Step Solution:

1. **Identify the Statements**:
- Let \( p \) represent "She goes to market".
- Let \( q \) represent "She buys some fruits".

2. **Understanding the Phrase "unless"**:
- The phrase "A unless B" can be interpreted as "If not B, then not A". In logical terms, this translates to \( \neg B \rightarrow \neg A \).

3. **Apply the Interpretation**:
- In our case, we can rewrite the statement "She does not go to market unless she buys some fruits" as:
- "If she does not buy some fruits, then she does not go to market".
- This translates to:
- \( \neg q \rightarrow \neg p \).

4. **Rearranging the Expression**:
- The expression \( \neg q \rightarrow \neg p \) can also be rewritten using the contrapositive, which is logically equivalent:
- \( p \rightarrow q \).
- This means "If she goes to market, then she buys some fruits".

5. **Final Logical Expression**:
- Therefore, the correct logical expression for the statement "She does not go to market unless she buys some fruits" is:
- \( \neg q \rightarrow \neg p \) or equivalently \( p \rightarrow q \).

### Conclusion:
The correct symbol for the statement "She does not go to market unless she buys some fruits" is \( \neg q \rightarrow \neg p \) or \( p \rightarrow q \).