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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
Shouldn't the answer be option a?
IIT JAM 2011: Consider the following subsets of R: E = n+1 , F= - :0Sx<1 :neN Then (a) Both E and F are closed (b) E is closed and F is NOT closed (c) E is NoT closed and Fis closed d) Neither E nor F is closed
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Deepak singh 1
you have doubt in set E. see , limit point of E includes 1 but 1 does not belongs to E . So E is not closed ... option c will be correct
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But if E(complement) is open shouldn't E be closed?
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yes , you are right but E(complement) is not open here ..
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so , its not closed
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feel free to ask again
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Ajay
as this shows
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Deepak singh 1![best-answer]()
See attached , it will clear your doubt .