Question

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:

• A. $(P \vee Q) \wedge((\sim P) \vee R)$
• B. $(P \vee \sim Q) \wedge(P \vee \sim R)$
• C. $((\sim P) \vee \sim Q) \wedge((\sim P) \vee \sim R)$
• D. $((\sim P) \vee \sim Q) \wedge((\sim P) \vee R)$

Answer 1

Answer: (D)

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