IIT JAM
Ajay Asked a Question
December 3, 2020 1:51 pmpts 30 pts
  • 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 thankyou
    See attached , it will clear your doubt .
    • Adobe Scan 03-Dec-2020 (9).pdf
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  • Deepak singh
    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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    Ajay
    But if E(complement) is open shouldn't E be closed?
  • Ajay
    as this shows
    • cropped1970003883022425284.jpg
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