If P = He is a carpenter and q = He is making a table.
Then write down the following statement into symbols :
Neither he is a carpenter nor he is making a table.

Answer

To convert the statement "Neither he is a carpenter nor he is making a table" into symbols using the given definitions, we can follow these steps:

1. **Identify the Statements**:
- Let \( P \) represent "He is a carpenter."
- Let \( Q \) represent "He is making a table."

2. **Negate the Statements**:
- The phrase "neither he is a carpenter" translates to "he is not a carpenter," which can be represented as \( \neg P \).
- The phrase "nor he is making a table" translates to "he is not making a table," which can be represented as \( \neg Q \).

3. **Combine the Negated Statements**:
- The conjunction of the two negated statements can be expressed using the logical operator "and." Therefore, we combine them as:
\[ \neg P \land \neg Q \]

4. **Final Symbolic Representation**:
- Thus, the complete symbolic representation of the statement "Neither he is a carpenter nor he is making a table" is:
\[ \neg P \land \neg Q \]