Question: If c R and S is a set, define cS = {cx : x S}. Let S be a convex set and suppose c

If cāˆˆ R and S is a set, define cS = {cx : x āˆˆ S}. Let S be a convex set and suppose c > 0 and d > 0. Prove that cS + dS = (c + d)S.

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