Final Answer:
If 81 tickets were sold and only 11 seats were empty, the total seats on the train would be 92, contradicting the given information. This violates basic arithmetic, So, the correct answer is b. False.
Step-by-step explanation:
The statement is false because if the ticket agent had sold eighty-one tickets and there were only eleven empty seats on the train, it would mean that there are 92 seats in total on the train (81 sold + 11 empty). This contradicts the usual scenario where the total number of seats on a train should be the sum of sold and empty seats.
In detail, if all 81 tickets were sold, and there were 11 empty seats, the total number of seats on the train should be 92 (81 sold + 11 empty). However, this contradicts the premise that there were only 11 empty seats on the train. Therefore, the initial statement is logically inconsistent.
In conclusion, the correct option is b. False.