Mathematical Reasoning Question 8
Question 8 - 30 January - Shift 2
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:
(1) $((\sim P) \vee \sim Q) \wedge((\sim P) \vee R)$
(2) $((\sim P) \vee \sim Q) \wedge((\sim P) \vee \sim R)$
(3) $(P \vee Q) \wedge((\sim P) \vee R)$
(4) $(P \vee \sim Q) \wedge(P \vee \sim R)$
Show Answer
Answer: (1)
Solution:
$P \to(\sim Q \wedge R)$
$\sim P \vee(\sim Q \wedge R)$
$(\sim P \vee \sim Q) \wedge(\sim P \vee R)$
