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)

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