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:
$((\sim P) \vee \sim Q) \wedge((\sim P) \vee R)$
$((\sim P ) \vee \sim Q ) \wedge((\sim P ) \vee \sim R )$
$(P \vee Q) \wedge((\sim P) \vee R)$
$(P \vee \sim Q) \wedge(P \vee \sim R)$
The negation of the compound proposition $p \vee (\sim p \vee q)$ is
The proposition $p \Rightarrow \;\sim (p\; \wedge \sim \,q)$ is
Which of the following is not a statement
$p \Rightarrow q$ can also be written as
The proposition $ \sim \left( {p\,\vee \sim q} \right) \vee \sim \left( {p\, \vee q} \right)$ is logically equivalent to