Determine whether or not each set is compact and whether or not it is convex. Use the
Question:
Determine whether or not each set is compact and whether or not it is convex.
Use the sets from Exercise 3.
Data From Exercise 3
Determine whether each set is open or closed or neither open nor closed.
Transcribed Image Text:
a. {(x, y):y> 0} b. {(x, y): x = 2 and 1 ≤ y ≤ 3} c. {(x, y): x = 2 and 1 < y < 3} d. {(x, y): xy = 1 and x > 0} e. {(x, y): xy ≥ 1 and x >0}
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a The set is not compact since it is not closed however it is convex ...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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