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Please dont say not enough info or missing info, this is all of the information given, please answer by proving these statements prove each step.

Please dont say not enough info or missing info, this is all of the information given, please answer by proving these statements prove each step.

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(a) (6 points) Prove that the closure of a. convex set S is convex. (b) (4 points) Provide a counterexample to Show that the converse is not true

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