Abdallah Sima's first-half strike was enough to earn Rangers victory at Hearts to maintain Philippe Clement's impressive start as manager.
After scoring a double against St Mirren on Sunday, the on-loan Brighton striker raced on to James Tavernier's pass and fired beyond goalkeeper Zander Clark.
The Ibrox side spurned several opportunities at Tynecastle Park as goalkeeper Jack Butland again proved his value with several fine saves to deny the hosts.
The result means Rangers stay eight points behind leaders Celtic with a game to spare, while Hearts are in third.
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