Question: Problem 3 (15 marks). Consider the followmg proposition. ll'r'oposition '1 Let X g R be a nonempty set and b E 1R be any vector

$X g R" be a nonempty set and b E 1R\" be$

Problem 3 (15 marks). Consider the followmg proposition. ll'r'oposition '1 Let X g R" be a nonempty set and b E 1R\" be any vector such that b X. The following holds: (i) If X is compact, then there is x* E X such that 0

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