(A) None of the people sitting in the school’s athletic office this morning at nine o’clock had ever played tennis.
- This statement cannot be inferred from the given information. We only know that they registered for a beginners tennis clinic, but we don't have information about their previous tennis experience.
(B) Everyone sitting in the school’s athletic office this morning at nine o’clock registered only for a beginners tennis clinic.
- This statement is supported by the given information. Since everyone in the waiting room had just registered for a beginners tennis clinic, it can be concluded that they registered only for that clinic. However, it doesn't address whether John and Teresa are accomplished tennis players.
(C) John, Mary, and Teresa were the only people who registered for a beginners tennis clinic this morning.
- This statement cannot be concluded from the given information. We know that John, Mary, and Teresa were in the waiting room, but we don't have information about whether others also registered for the clinic.
(D) John, Mary, and Teresa were the only people sitting in the waiting room of the school’s athletic office this morning at nine o’clock.
- This statement cannot be inferred from the given information. We don't know if there were others in the waiting room.
(E) Neither John nor Teresa is an accomplished tennis player.
- This statement logically follows from the given information. We are told that no accomplished tennis player would register for a beginners tennis clinic, and both John and Teresa were in the waiting room after registering for the clinic. Therefore, it can be concluded that neither John nor Teresa is an accomplished tennis player.Option (E) is the only statement that can be logically deduced from the information provided in the question.