Let p, q, r be three statements such that the truth value of (p ∧...

Given that the truth value of $\left(p ∧ q\right) \to \left(~ q ∨ r\right)$ is $F$ .

For the above truth value to be possible, \left(p ∧ q\right)$should be TRUE and \left(~ q ∨ r\right)$ should be FALSE.

\left(p ∧ q\right)$is TRUE when$p \text{ and } q$both are TRUE.</p><p>\left(~ q ∨ r\right)$ is FALSE when $q$ is TRUE and $r$ is FALSE.

So, the truth values of $p, q, r$ are $T, T, F$ respectively.