Question

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

• A. True if the truth values of $p,q,r$ are $T,F,T$ respectively
• B. False if the truth values of $p,q,r$ are $T,F,T$ respectively
• C. False if the truth values of $p,q,r$ are $T,F,F$ respectively
• D. True if the truth values of $p,q,r$ are $F,T,F$ respectively

Answer 1

Answer: (A)

$\left(\sim T\vee F\right)\wedge \sim T\Rightarrow T$
$\left(F\vee F\right)\wedge F\Rightarrow T$
$F\vee F\to T$
$F\to T$ which is $T$