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Let be two given polyhedral sets. Assume that there exists such that every convex combination of and is contained in the intersection of . Does

Let image text in transcribed be two given polyhedral sets. Assume that there exists image text in transcribed such that every convex combination of image text in transcribed and image text in transcribed is contained in the intersection of image text in transcribed. Does there exist separating hyper-plane of image text in transcribed and image text in transcribed? Explain the answer.

Transcribed image text

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