The old and the new combined to turn the White Sox blue Sunday. Derek Jeter, the retiring captain and longest tenured Yankee who was honored by the White Sox before the game, and Masahiro Tanaka, the rookie pitching sensation, carried the Yankees to a dominating, 7-1, win before a sold-out crowd of 39,142 at U.S. Cellular Field. Jeter, 40 next month, went 4-for-5, drove in two runs, used his 39-year-old legs to get a stand-up triple and scored a run. Tanaka, who had a 42-game regular-season unbeaten streak stopped in his last outing, smothered the White Sox for five innings and upped his ledger to 7-1 with 6 2/3 innings, allowing a run and five hits. “It was a great day,’’ said Joe Girardi, whose club split four games against the White Sox after losing the first two by one run each. “[Jeter] was a big part of the offense and everyone contributed. It was a real good start for Tanaka and a nice way to go to St. Louis.’’ The extended stay in Chicago started by splitting two games with the putrid Cubs and included David Robertson’s first blown save of the season. Given that, the Yankees will take 3-3.