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Prove that the sum and difference of two convex sets in R^n are convex. Prove that a hyperplane HR^n and its associated half-spaces H+ and H- are...

1.Prove that the sum and difference of two convex sets in R^n are convex.


2. Prove that a hyperplane H∈R^n and its associated half-spaces H+ and H- are convex sets.

1. Prove that the sum and difference of two convex sets in R^n are convex. 2. Prove that a hyperplane H R^n and its associated half-spaces H+ and H- are convex sets.
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