Kyle Lafferty grabbed the only goal of the game as Rangers moved 10 points clear of Celtic at the summit of the Clydesdale Bank Premier League.
The Northern Irishman netted in the second half after Steven Whittaker missed from the penalty spot just before half-time.
The win allowed the Scottish champions to pile the pressure on Celtic ahead of their game against Hearts, with nearest rivals Motherwell nine points behind Rangers.
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