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:

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

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

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