Consider the following statements:P: Suman is | vedclass

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(D) Let the statements be $P$,$Q$,and $R$."Suman is brilliant and dishonest" is represented as $P \wedge \sim R$."Suman is rich" is represented as $Q$

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$\sim Q \leftrightarrow P \wedge \sim R$

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(D) Let the statements be $P$,$Q$,and $R$."Suman is brilliant and dishonest" is represented as $P \wedge \sim R$."Suman is rich" is represented as $Q$.The statement "Suman is brilliant and dishonest if and only if Suman is rich" is represented as $(P \wedge \sim R) \leftrightarrow Q$.We know that the negation of $A \leftrightarrow B$ is $\sim A \leftrightarrow B$ or $A \leftrightarrow \sim B$.Therefore,the negation of $(P \wedge \sim R) \leftrightarrow Q$ is $(P \wedge \sim R) \leftrightarrow \sim Q$,which is equivalent to $\sim Q \leftrightarrow (P \wedge \sim R)$.

Consider the following statements:
$P$: Suman is brilliant
$Q$: Suman is rich
$R$: Suman is honest
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as:

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Consider the following statements:$P$: Suman is brilliant$Q$: Suman is rich$R$: Suman is honestThe negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as: