Find an example to show that the convexity of s

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Find an example to show that the convexity of S is necessary in Exercise 19.

Exercise 19

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

Reference no: EM131074920

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