IIT JAM
Prafull kumar mehta Mehta Asked a Question
August 30, 2020 10:55 pmpts 30 pts
  • 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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  • Pranav kumar Best Answer
    see the attachment
    • cropped5794776454225400776.jpg
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  • Pranav kumar thankyou
    option b is correct
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  • Deepak singh
    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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    Deepak singh
    so option b is correct
  • Vishal goswami
    option b
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