Question

If $p\to (\sim p\vee \sim q)$ is false, then the truth values of $p\text{and}q$ are respectively:

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

Answer 1

The correct option is B $T,T$

$p$	$q$	$(\sim p\vee \sim q)$	$p\to (\sim p\vee \sim q)$
$T$ $T$ $F$ $F$	$T$ $F$ $T$ $F$	$F$ $T$ $T$ $T$	$F$ $T$ $T$ $T$

So, from above truth table $p\to (\sim p\vee \sim q)$ will be $F$ , if $p\text{and}q$ are $T\text{and}T$ respectively.