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

Answer

To convert the statement "He is not a carpenter and he is making a table" into symbols, we will 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 First Statement**:
- The phrase "He is not a carpenter" translates to the negation of \( P \), which is represented as \( \neg P \).

3. **Combine with the Second Statement**:
- The phrase "and he is making a table" corresponds to \( Q \).

4. **Use the Logical Operator for 'And'**:
- The logical operator for 'and' is represented by \( \land \).

5. **Write the Complete Expression**:
- Combining the negated statement and the second statement, we get:
\[ \neg P \land Q \]

Thus, the statement "He is not a carpenter and he is making a table" in symbols is \( \neg P \land Q \).

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