Consider the following premises. Thomas is playing tennis if and only if Jennifer is running. Thomas is not playing tennis. For all x_8, x_8 will go running or x_8 will play a game. Can we infer the following from them? Jennifer is playing a game.
 From the fact that for all x_8, x_8 will go running or x_8 will play a game we can infer that Jennifer is running or Jennifer is playing a game. From the fact that Thomas is playing tennis if and only if Jennifer is running, and that Thomas is not playing tennis we can infer that Jennifer is not running. Finally, from the fact that Jennifer is running or Jennifer is playing a game, and that Jennifer is not running we can infer that Jennifer is playing a game. Therefore, the answer is yes.