Consider the following premises. It is raining or Karen is playing a game. It is not raining. David is making tea. Can we infer the following from them? If we can, name the inference rule being used: David is making tea and Karen is playing a game.
 From the fact that it is raining or Karen is playing a game, and that it is not raining we can infer that Karen is playing a game via disjunctive syllogism. Finally, from the fact that David is making tea, and that Karen is playing a game we can infer that David is making tea and Karen is playing a game via conjunction. Therefore, the answer is yes.