Consider the following statements:P: I have f | vedclass

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(A) Let the statements be:$P$: $I$ have fever$Q$: $I$ will take medicine$R$: $I$ will take restThe given statement is: "If $I$ have fever,then $I$ wil

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

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(A) Let the statements be:$P$: $I$ have fever$Q$: $I$ will take medicine$R$: $I$ will take restThe given statement is: "If $I$ have fever,then $I$ will take medicine and $I$ will take rest".This can be written as: $P \rightarrow (Q \wedge R)$.Using the logical equivalence $A \rightarrow B \equiv \sim A \vee B$:$P \rightarrow (Q \wedge R) \equiv \sim P \vee (Q \wedge R)$.Using the distributive law $A \vee (B \wedge C) \equiv (A \vee B) \wedge (A \vee C)$:$\sim P \vee (Q \wedge R) \equiv (\sim P \vee Q) \wedge (\sim P \vee R)$.Wait,the original question statement is "$I$ will not take medicine" for $Q$. Let's re-evaluate.If $Q$ is "$I$ will take medicine",then "$I$ will not take medicine" is $\sim Q$.The statement is $P \rightarrow (\sim Q \wedge R)$.Equivalent to $\sim P \vee (\sim Q \wedge R)$.Applying distributive law: $(\sim P \vee \sim Q) \wedge (\sim P \vee R)$.

Consider the following statements:
$P$: $I$ have fever
$Q$: $I$ will take medicine
$R$: $I$ will take rest
The statement "If $I$ have fever,then $I$ will take medicine and $I$ will take rest" is equivalent to:

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Consider the following statements:$P$: $I$ have fever$Q$: $I$ will take medicine$R$: $I$ will take restThe statement "If $I$ have fever,then $I$ will take medicine and $I$ will take rest" is equivalent to: