Question

If p, q, r are simple propositions with truth values T, F, T, then the truth value of $\left(\sim p \vee q\right) \wedge \sim r \Rightarrow p$ is

• A. TRUE
• B. FALSE
• C. true, if r is false
• D. true, if q is true

Answer 1

Answer: (A)

TRUE

Answer 2

$\sim p \vee q$ means $F \vee F = F, \sim r$ means $F$
$\therefore \left[\left(\sim p \vee q\right) \wedge \sim r\right] \Rightarrow p$ means $T$