Prove that the set X = (18, 19) U [21,23] C R is NOT convex by using convex combination. Other methods are not acceptable.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Prove that the set X = (18, 19) U [21,23] CR 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.)
Transcribed Image Text:Prove that the set X = (18, 19) U [21,23] CR 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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