Define convex set using theorem

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Question: Using Theorem, show that given a convex set X and an interior point x of X, any ray emanating from x contains at most one boundary point of X.

Theorem: Let X be a convex set with a nonempty interior, with x'; an interior point of X and x" any closure point of X. Then every point of the segment [x', x"], except possibly for x" is an interior point of X.

Reference no: EM131582653

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