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Homework Help
Calculus and Beyond Homework Help
Are the following Sets: Open, Closed, Compact, Connected
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[QUOTE="emergentecon, post: 4999592, member: 499302"] [h2]Homework Statement [/h2] Ok I created this question to check my thinking. Are the following Sets: Open, Closed, Compact, Connected Note: Apologies for bad notation. S: [0,1)∪(1,2] V: [0,1)∩(1,2] [h2]Homework Equations[/h2] S: [0,1)∪(1,2] V: [0,1)∩(1,2] [h2]The Attempt at a Solution[/h2] S: [0,1)∪(1,2] Closed - because 0 and 2 represent boundary points Compact - because S is closed and bounded Not Connected - because it can be separated into two open disjoint sets [0,1) and [2] V: [0,1)∩(1,2] Open - because the set is (1) Not Compact - because it is open Connected - because it cannot be separated into two open disjoint sets [/QUOTE]
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Homework Help
Calculus and Beyond Homework Help
Are the following Sets: Open, Closed, Compact, Connected
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