Consider the set X E R? defined by the system of inequalities X = {R² : -xı+ x2 < 2, x1 + x2 < 5, 2x1 + x2 < 4, x1 > 0, x2 > 0}. (a) In the two-dimensional coordinate system (x1, x2), clearly draw the set X. You may use the attached graph paper. (b) List all extreme points and their coordinates.

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