If P = He is a carpenter and q = He is making a table.
Then write down the following statement into symbols :
He is a carpenter but is not making a table.

Answer

To convert the statement "He is a carpenter but is not making a table" into symbols using the given definitions:

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

2. **Negate the second statement**:
- The phrase "is not making a table" corresponds to the negation of \( Q \), which we denote as \( \neg Q \).

3. **Combine the statements**:
- The word "but" in logical expressions is often treated as "and". Therefore, we can combine \( P \) and \( \neg Q \) using the logical conjunction operator (\( \land \)).
- Thus, the entire statement can be expressed as \( P \land \neg Q \).

4. **Final expression**:
- Therefore, the symbolic representation of the statement "He is a carpenter but is not making a table" is:
\[ P \land \neg Q \]