The A's were also without Jemile Weeks (sprained left ankle) and Kila Ka'aihue (tight right hamstring). Catcher Kurt Suzuki got a day off to rest his sore left hand.
"Our lineup is our lineup today," Melvin said.
The A's, who also have starters Yoenis Cespedes and Coco Crisp on the disabled list, started Cliff Pennington at shortstop, Collin Cowgill in center field, Josh Reddick in right field, Jonny Gomes at DH, Seth Smith in left field, Josh Donaldson at third, Daric Barton at first, Anthony Recker at catcher and Eric Sogard at second.
Inge was the only new injury development before Sunday's game. Melvin said Inge, who hit two grand slams and had 16 RBIs in his first six games with the A's, tried to talk his way into the lineup, but Melvin didn't want to take a chance.
"Based on what we've been seeing lately and the amount of work he's gotten for a guy who hasn't played much before, it's not wise to run him out there if he's a little tight," Melvin said.
Of the players who were dinged up on Sunday, Ka'aihue was the farthest from being ready, Melvin said. He said his designated hitter can hit, but not run.
Weeks, Inge and Suzuki all may be able to play on Monday in Anaheim.