Moore (2-0) overcame six walks with the help of three double plays while allowing just one hit over 5 1/3 innings. The left-hander struck out five en route to the victory.
Rangers starter Derek Holland (0-1) pitched well in the loss, yielding two runs on five hits over eight frames.
Despite the setback, the Rangers finished a six-game homestand with a 4-2 mark.
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