Propositional Logic Help: $(\neg p \wedge (p \vee q)) \rightarrow q $ is a tautology
Hint: We have that $$ (\neg p \land q)\to q \equiv (p\lor \neg q)\lor q \equiv p \lor (\neg q\lor q). $$ You should be able to take it from there.
Hint: We have that $$ (\neg p \land q)\to q \equiv (p\lor \neg q)\lor q \equiv p \lor (\neg q\lor q). $$ You should be able to take it from there.