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  • Consider the following statements: P : I have fever Q: I will not take medicine R : I will take rest. The statement "If I have fever, then I will take medicine and

Consider the following statements:
P : I have fever
Q: I will not 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:

Option: 1

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


Option: 2

(\mathrm{P} \vee \mathrm{Q}) \wedge((\sim \mathrm{P}) \vee \mathrm{R})


Option: 3

((\sim \mathrm{P}) \vee \sim \mathrm{Q}) \wedge((\sim \mathrm{P}) \vee \sim \mathrm{R})


Option: 4

(\mathrm{P} \vee \sim \mathrm{Q}) \wedge(\mathrm{P} \vee \sim \mathrm{R})


Answers (1)

best_answer

\mathrm{P} \rightarrow(\sim \mathrm{Q} \wedge \mathrm{R})
\sim \mathrm{PV}(\sim \mathrm{Q} \wedge \mathrm{R})
\Rightarrow((\sim \mathrm{P}) \mathrm{V}(\sim \mathrm{Q})) \wedge((\sim \mathrm{P}) \mathrm{vR})

Posted by

Ritika Jonwal

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