For Option A,
$\begin{array}{|c|c||c|c|c|c|} \hline p & q & p\rightarrow q & \neg q & p\rightarrow \neg q &(p\rightarrow q)\vee (p\rightarrow \neg q)\\\hline T & T & T & F& F & T\\\hline T & F & F& T & T & T \\\hline F & T & T & F & T & T\\\hline F & F & T & T & T & T \\ \hline\end{array}$
The formula is valid since it is satisfied by every interpretation. Similarly, we can check for other options.