Physics, asked by ggsj5950, 1 year ago

Prove that intersection of two convex sets is convex

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Answered by prabhash25
0
Theorem: Given any collection of convex sets(finite, countable or uncountable), their intersection is itself a convex set. ... Otherwise, take any two points A, B in the intersection. The line AB joining these points must also lie wholly within each set in the collection, hence must lie wholly within their intersection.
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