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Consider the two statements : P : Raj ...

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 alive and he lives in Delhi.

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The correct Answer is:
To convert the given statements into symbolic form, we will follow these steps: 1. **Identify the Statements**: - The first statement is "Raj Kapoor is alive," which we denote as \( P \). - The second statement is "Raj Kapoor lives in Delhi," which we denote as \( Q \). 2. **Combine the Statements**: - The phrase "Raj Kapoor is alive and he lives in Delhi" indicates that both statements \( P \) and \( Q \) are true simultaneously. In logical terms, this is represented by the conjunction (AND) operator. 3. **Symbolic Representation**: - The conjunction of \( P \) and \( Q \) is represented as \( P \land Q \) or \( P \cap Q \) (where \( \land \) denotes logical AND). Thus, the symbolic form of the statement "Raj Kapoor is alive and he lives in Delhi" is: \[ P \land Q \]
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