10:03 AM Sat May 21Cancel●●●RESETLet I be the set of real numbers equipped with the standard topology. Let A andB be two subsets of R defined respectively byA = {1,1,2,4}, B = (0, 1) U (1,2).Discuss each of the following questions with justification.(a) Is A open in R?(b) Is B closed in R?(c) Is AUB closed in R?98%Done||||||||||| | | | | | | | | | ||

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Answered: Let I be the set of real numbers…

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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Let I be the set of real numbers equipped with the standard topology. Let A and B be two subsets of R defined respectively by A={1,1,2,4}, B = (0, 1) U (1,2). Discuss each of the following questions with justification. (a) Is A open in R? (b) Is B closed in R? (c) Is AUB closed in R?