The U.S. business inventories for May and NAHB housing market index for July will be released at 10:00 am ET Tuesday. Ahead of these data, the greenback traded mixed against its major rivals. While the greenback rose against the yen, it was steady against the rest of major rivals.

The greenback was worth 108.22 against the yen, 0.9878 against the franc, 1.1218 against the euro and 1.2424 against the pound as of 9:55 am ET.

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