If $\mathrm{p} \rightarrow(\sim \mathrm{p} \vee \mathrm{q})$ is false, then the truth values of $\mathrm{p}$…
If $\mathrm{p} \rightarrow(\sim \mathrm{p} \vee \mathrm{q})$ is false, then the truth values of $\mathrm{p}$ and $\mathrm{q}$ are respectively
F, T
F, F
T, T
T, F
Solution
We know that $\mathrm{T} \rightarrow \mathrm{F}$ is false.
$\therefore \mathrm{p}$ must be true and $(\sim \mathrm{p} \vee \mathrm{q})$ must be false. $\Rightarrow \mathrm{p}$ is true.
We know that $\mathrm{F} \vee \mathrm{F}$ is false.
So $\mathrm{q}$ must be false.