Consider the following premises. For all y, y will cook if and only if y will play tennis. Elisabeth is cooking if and only if Karen is making tea. Elisabeth is not playing tennis. Can we infer the following from them? Karen is making tea.
 From the fact that for all y, y will cook if and only if y will play tennis we can infer that Elisabeth is cooking if and only if Elisabeth is playing tennis. From the fact that Elisabeth is cooking if and only if Elisabeth is playing tennis, and that Elisabeth is not playing tennis we can infer that Elisabeth is not cooking. Finally, from the fact that Elisabeth is cooking if and only if Karen is making tea, and that Elisabeth is not cooking we can infer that Karen is not making tea, which contradicts that Karen is making tea. Therefore, the answer is no.