Let us define the set S = {(x, y) = R¹ x Rm | Ax+By ≤ b}, where matrices A and B, and vector b are of appropriate dimensions. Let us also define the set {x ER" y ER s.t. (x, y) ES}. (a) ( Suppose that â P. Argue that there exists an inequality, defined by a vector (a, b) E Rn+1, such that aa <3 and ax ≥ VxEP.

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