If `p:7` is not greater than 4
q : Paris is in France.
Write `~(pvvq)` in words.

Answer

To solve the problem, we need to express the negation of the statement \( \sim (p \lor q) \) in words, where \( p \) and \( q \) are defined as follows:

1. \( p: 7 \) is not greater than 4.
2. \( q: \) Paris is in France.

### Step-by-Step Solution:

1. **Identify the Statements:**
- \( p \): 7 is not greater than 4.
- \( q \): Paris is in France.

2. **Determine the Negation of Each Statement:**
- The negation of \( p \) (denoted as \( \sim p \)) is: 7 is greater than 4.
- The negation of \( q \) (denoted as \( \sim q \)) is: Paris is not in France.

3. **Combine the Statements:**
- The expression \( p \lor q \) means "7 is not greater than 4 or Paris is in France."
- The negation \( \sim (p \lor q) \) means "It is not the case that 7 is not greater than 4 or Paris is in France."

4. **Apply De Morgan's Law:**
- According to De Morgan's laws, the negation of a disjunction is the conjunction of the negations:
\[ \sim (p \lor q) = \sim p \land \sim q \]
- Therefore, we can rewrite this as:
- \( \sim (p \lor q) \) is equivalent to \( \sim p \land \sim q \), which translates to:
- "7 is greater than 4 and Paris is not in France."

5. **Final Statement in Words:**
- Thus, \( \sim (p \lor q) \) in words is: "7 is greater than 4 and Paris is not in France."