Consider the two statements :
P : Raj Kapoor is alive .
Q : Raj Kapoor lives in Delhi . Write the following statements in Symbolic form.
Raj Kapoor is neither alive, nor does he live in Delhi.

Answer

To convert the statement "Raj Kapoor is neither alive, nor does he live in Delhi" into symbolic form using the given statements P and Q, we can follow these steps:

1. **Identify the Statements**:
- Let P represent "Raj Kapoor is alive."
- Let Q represent "Raj Kapoor lives in Delhi."

2. **Negate the Statements**:
- The phrase "neither alive" indicates the negation of P, which is written as ¬P (not P).
- The phrase "nor does he live in Delhi" indicates the negation of Q, which is written as ¬Q (not Q).

3. **Combine the Negations**:
- The word "nor" can be interpreted as "and" in logical terms when negating both statements. Therefore, we combine the negations using the logical conjunction (AND), which is represented by the symbol ∧.
- Thus, the combined statement becomes ¬P ∧ ¬Q.

4. **Final Symbolic Form**:
- The final symbolic representation of the statement "Raj Kapoor is neither alive, nor does he live in Delhi" is:
\[ ¬P ∧ ¬Q \]