Question

If statement $p\to (q\vee r)$ is true, then the truth values of statements $p,q,r$ respectively

• A. $T,F,T$
• B. $F,T,F$
• C. $F,F,F$
• D. $Allofthese.$

Answer 1

The correct option is D $Allofthese.$

Assume $p\to (q\vee r)$ is false

$\Rightarrow p$ is true and $(q\vee r)$ is false

$\Rightarrow$ $p$ is true, $q$ and $r$ both are false

i.e. $p\to (q\vee r)$ is false when truth values of $p,q,r$ are $T,F,F$ resp. otherwise it is true.