Coach Steroid likes his players to be big, fast, and obedient. If player A is better than player B in two of these three characteristics, Steroid will prefer A to B. Three players try out for quarterback. Wilbur Westinghouse weighs 320 pounds, runs very slowly, and is quite obedient. Harold Hotpoint weighs 240 pounds, runs extremely fast, and is extremely disobedient. Jerry Jacuzzi weighs 150 pounds, runs at average speed, and is extremely obedient. Does Coach Steroid have transitive preferences?
a. Yes, he prefers Wilbur to Harold, Harold to Jerry and, therefore, he prefers Wilbur to Jerry.
b. Yes, he prefers Jerry to Wilbur, Wilbur to Harold and, therefore, he prefers Jerry to Harold.
c. No, his preferences are not transitive.
d. No. It is impossible to tell.
e. Yes, he prefers Harold to Jerry, Jerry to Wilbur and, therefore, he prefers Harold to Wilbur.
Can someone please explain to me how to reach the to the answer?