Question: please answer (5.1) Let P1 C R be a nonempty polytope and P2 C R be a nonempty polyhedron. Let P = PinP2. Suppose that

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(5.1) Let P1 C R" be a nonempty polytope and P2 C R" be a nonempty polyhedron. Let P = PinP2. Suppose that P # 0. Prove that P is a polytope. (5.2) Let P1 C R" be a nonempty polyhedron and P2 C R" be a nonempty polyhedron. Let P = PinP2. Suppose that P # 0. Either prove the following result or give a counterexample: If P is a polytope, then at least one of P1 and P2 is a polytope

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