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If p: Rahul is physically disable, q: Ra...

If p: Rahul is physically disable, q: Rahul stood first in the class, then the statement "In spite of physical disability Rahul stood first in the class in symbolic form is

A

`p wedge q`

B

`p vee q`

C

`~p vee q`

D

`p to q`

Text Solution

AI Generated Solution

The correct Answer is:
To convert the statement "In spite of physical disability, Rahul stood first in the class" into symbolic form using the given variables \( p \) and \( q \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Statements**: - Let \( p \): "Rahul is physically disabled." - Let \( q \): "Rahul stood first in the class." 2. **Understand the Logical Relationship**: - The phrase "In spite of" suggests that even though \( p \) is true (Rahul is physically disabled), \( q \) is also true (Rahul stood first in the class). This indicates that both statements are true simultaneously. 3. **Formulate the Symbolic Representation**: - Since both statements are true, we can represent this using the logical conjunction (AND) operator. In symbolic form, this is represented as: \[ p \land q \] - Here, \( \land \) denotes "and", indicating that both \( p \) and \( q \) hold true. 4. **Final Answer**: - Therefore, the symbolic form of the statement "In spite of physical disability, Rahul stood first in the class" is: \[ p \land q \]
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