The last thing Alex Rios and Adam Dunn needed was an injury to Paul Konerko — one more spotlight shining on how badly the White Sox struggle to score runs.

Rios and Dunn are the poster children for a pitter-patter offense, and they know the Sox would be leading the AL Central if they were having normal years and not hitting .206 and .165, respectively.

"We obviously don't want to be in the situation we're in,'' Rios said before he went 0-for-2 in the Sox' rain-shortened 6-0 loss to the New York Yankees in seven innings that extended their losing streak to four. "Let's talk about me. I'm having a bad season. Some people think that you don't care or this and that. They don't understand. You represent the team you play for, but you also represent yourself. You don't want to do bad for the team. You don't want to do bad for yourself.''

The Sox seemed to have a favorable matchup with John Danks, 4-0 with a 0.98 ERA in his previous six starts, facing Phil Hughes, who was 1-3 with an 8.24 ERA. But they had three hits against Hughes, who enjoyed an early lead as Russell Martin homered in the second inning and Mark Teixeira homered in the third to make it 4-0. Four runs is an advantage that has "insurmountable" stamped all over it against the Konerko-less Sox, who fell to 3-5 on this important 10-game homestand.

When Teixeira homered against Jason Frasor in the seventh, he became the first player to hit home runs from both sides of the plate in one game 12 times. Teixeira has 31 homers, about twice as many as Dunn (10) and Rios (six) combined.

Rios and Dunn continued to hear boos from the disgruntled fans among the 21,661 who know Dunn's and Rios' $12 million salaries are contributing factors in the high ticket prices.

"When somebody is doing bad it's not because you want to do bad,'' Rios said. "It's because something is going wrong. Sometimes they don't understand that, but they want the best from their team and I understand that. They want to see everybody doing well but sometimes that doesn't happen. Sports are a tough business. It's called a game, it is a game, but it's not as easy as it looks. That's it, man. At the end of the day, we don't want to do bad. We want to perform well and do our best.''

Rios probably would have been on the bench Tuesday if not for Konerko's bruised calf that kept him out for the second straight game.