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Question

$P$ : Ramu is intelligent

$Q$ : Ramu is rich

$R$ : Ramu is not honest

Given statement, "Ramu is intelligent and honest if and only if Ra

Vedclass · Accepted Answer

$(( P \wedge(\sim R )) \wedge Q ) \vee((\sim Q ) \wedge((\sim P ) \vee R ))$

Vedclass · Answer

$P$ : Ramu is intelligent

$Q$ : Ramu is rich

$R$ : Ramu is not honest

Given statement, "Ramu is intelligent and honest if and only if Ramu is not rich"

$=(P \wedge \sim R) \Leftrightarrow \sim Q$

So, negation of the statement is

$\sim[(P \wedge \sim R) \Leftrightarrow \sim Q]$

$=\sim[\{\sim(P \wedge \sim R) \vee \sim Q\} \wedge\{Q \vee(P \wedge \sim R)\}]$

$4=((P \wedge \sim R) \wedge Q) \vee(\sim Q \wedge(\sim P \vee R))$

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