For each of the following collections of sets, define a set An for each n N such that the indexed collection {An}neN is precisely the given collection of sets. Then find both the union and intersection of the indexed collection of sets. (a) {[1,2+1), [1, 2 + 1/2), [1, 2+1/3), ...} (b) {(-1,2), (-3/2, 4), (−5/3, 6), (-7/4, 8), ...}.
For each of the following collections of sets, define a set An for each n N such that the indexed collection {An}neN is precisely the given collection of sets. Then find both the union and intersection of the indexed collection of sets. (a) {[1,2+1), [1, 2 + 1/2), [1, 2+1/3), ...} (b) {(-1,2), (-3/2, 4), (−5/3, 6), (-7/4, 8), ...}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please if able explain the following question,especially the union and intersection, how do you do that without limits and max and minimums?
Transcribed Image Text:For each of the following collections of sets, define a set An for each n N such that the indexed collection
{An)neN is precisely the given collection of sets. Then find both the union and intersection of the indexed
collection of sets.
(a) {[1, 2+1), [1, 2 + 1/2), [1, 2+1/3), ...}
(b) {(1,2), (−3/2, 4), (−5/3, 6), (-7/4, 8), ...}.
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Follow-up Question
by -b, could you elaborate more on the intersection (-1,2), I still don't really understand it
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by Bartleby ExpertFollow-up Question
could you maybe elaborate on how you find the intersection and unions? how do i know which bracket to use, and how do i know which approach to take?
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