[Step-by-Step] Consider the set S = (x1, x2) ∈ R^2 : x1 + x2 = 1 and x1 ≥ 0, x2 ≥ 0. Prove that S is convex and
Question: Consider the set S = {(x1, x2) ∈ R^2 : x1 + x2 = 1 and x1 ≥ 0, x2 ≥ 0}. Prove that S is convex and compact.
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