Prafull Kumar Mehta posted an Question
August 31, 2020 • 04:25 am 30 points
  • IIT JAM
  • Mathematics (MA)

14. the set +:m,nen{0), as a subset of r, is (a) compact and open (b) compact but not open (c) not compact but open (d) neither compact nor open

14. The set +:m,nEN{0), as a subset of R, is (A) compact and open (B) compact but not open (C) not compact but open (D) neither compact nor open

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    Deepak singh 1

    since this set is closed and bounded so it is compact..but not open because neighborhood of 0 doesn't contained in set..

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    so option b is correct

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