Question: Prove that the set X = (12, 13) U [15,17] c R is NOT convex by using convex combination. Other methods are not acceptable.

Prove that the set X = (12, 13) U [15,17] c R

Prove that the set X = (12, 13) U [15,17] c R is NOT convex by using convex combination. Other methods are not acceptable. (Hint: pick two points from the set X and show that the convex combination is not in X. Think about which numbers are included in R.)

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