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A representation of an arbitrary system of strict linear inequalities in R^nas a system of points is proposed. The representation is obtained by using aso-called polarity. Based on this representation an algorithm for constructinga committee solution of an inconsistent plane system of linear inequalities isgiven. A solution of two problems on minimal committee of a plane system isproposed. The obtained solutions to these problems can be found by means of theproposed algorithm.

Minimal Committee Problem for Inconsistent Systems of Linear Inequalities on the Plane