The negative of `p vv q` is ........

Answer

To find the negative of the expression \( p \vee q \) (where \( \vee \) denotes the logical disjunction), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Expression**: The expression \( p \vee q \) represents the logical disjunction of \( p \) and \( q \). This means that the expression is true if at least one of \( p \) or \( q \) is true.

2. **Apply Negation**: The negative of the expression \( p \vee q \) can be represented using the negation symbol \( \neg \). Thus, we write:
\[ \neg (p \vee q) \]

3. **Use De Morgan's Law**: According to De Morgan's Laws, the negation of a disjunction can be expressed as the conjunction of the negations. Therefore, we can rewrite the expression as:
\[ \neg (p \vee q) = \neg p \wedge \neg q \]
Here, \( \wedge \) denotes logical conjunction.

4. **Final Answer**: Thus, the negative of \( p \vee q \) is:
\[ \neg p \wedge \neg q \]

### Summary:
The negative of \( p \vee q \) is \( \neg p \wedge \neg q \).

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