Question: 4. For each sentence, if it is true, please explain; if it is false, please provide a counterexample. 1) If there is a vector y

4. For each sentence, if it is true, please explain; if it is false, please provide a counterexample. 1) If there is a vector y # 0 such that Ay = 0, then the polyhedron P=(x E R": Ax 2 b} # 0 does not have an extreme point. 2) Every nonzero polyhedral cone is the convex hull of its extreme rays. 4) Let A E Rmx be a fixed matrix. The set of all b E RM for which the constraints Ax 2 b are feasible (i.e., {b E Rm: 3x, Ax 2 b } is convex

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