The U.S. Open is the only grand slam tournament that uses final set tiebreaks. Hence the marathon 5th set (16-14) between Roddick and Federer at this year's Wimbledon.
But the final (i.e. fifth) set is never reached in the solution. At Wimbledon it is entriely correct that you can win the match in three or four sets by winning the third or fourth set in a tie-break. There is not a problem with the solution as stated.