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. (Hint: pick

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 IR.)

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