Prove that the set X = (18, 19) U [21,23] C R is NOT convex by using convex combination. Other methods are not acceptable.
Prove that the set X = (18, 19) U [21,23] C R is NOT convex by using convex combination. Other methods are not acceptable.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aab5738-0db4-4f34-aec5-e37dc2468f82%2Fe8850813-a745-49a0-bf6f-5320f2c0fea0%2Ffthcz72_processed.png&w=3840&q=75)
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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