Nice had edged six points clear of the Ligue 1 relegation zone thanks to a 1-0 win over Sochaux at Allianz Riviera.
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Eric Bautheac scored the only goal of the game in the 24th minute, firing home from close range after getting on the end of Mathieu Bodmer's cross.
Mathieu Peybernes and Lionel Zouma missed good opportunities to equalise just before the break, with both shooting off target from inside the box.
Bautheac missed an opportunity to double his tally for the evening in the 71st minute, but the one goal was all that was needed for Les Aiglons to secure the points at home.
