If p `-=` "She goes to market" and
q `-=` "She buys some fruits".
then choose the correct symbol for the given statement :
Neither she goes to market nor she buy some fruits :

Options

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

Answer

To solve the problem, we need to express the statement "Neither she goes to market nor she buys some fruits" using logical symbols based on the definitions provided.

### Step-by-Step Solution:

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

2. **Negate the Statements**:
- The negation of \( p \) (denoted as \( \neg p \)) is "She does not go to market".
- The negation of \( q \) (denoted as \( \neg q \)) is "She does not buy some fruits".

3. **Understand the Given Statement**:
- The statement "Neither she goes to market nor she buys some fruits" implies that both statements \( p \) and \( q \) are false.

4. **Translate the Given Statement into Logical Symbols**:
- The phrase "Neither... nor..." can be interpreted as a conjunction of negations. In logical terms, this can be expressed as:
\[ \neg p \land \neg q \]
- Here, \( \land \) represents the logical "and".

5. **Final Expression**:
- Therefore, the statement "Neither she goes to market nor she buys some fruits" can be represented as:
\[ \neg p \land \neg q \]

### Conclusion:
The correct symbol for the given statement is \( \neg p \land \neg q \).

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