If $p \rightarrow(q \vee r)$ is false, then the truth values of $\mathrm{p}, \mathrm{q}, \mathrm{r}$ are…
If $p \rightarrow(q \vee r)$ is false, then the truth values of $\mathrm{p}, \mathrm{q}, \mathrm{r}$ are respectively
F,F,F
T, T, F
T, F, F
$\mathrm{F}, \mathrm{T}, \mathrm{T}$
Solution
Since $p \rightarrow q$ is false, when $p$ is true and $q$ is false.
$\mathrm{p} \rightarrow(\mathrm{q} \vee \mathrm{r})$ is false,
$\therefore \quad \mathrm{p}$ is true and $\mathrm{q} \vee \mathrm{r}$ is false
$\Rightarrow p$ is true and both $q$ and $r$ are false.