Ankur Rao Asked a Question
January 27, 2021 9:57 pmpts 30 pts
S. Statement A: Set S of real numbers is bounded above if sup S is finite. Statement B: Set S of real numbers is unbounded above if sup S = o (a) A and B are both true (b) Only A is true (c) B is false (d) A and B both false
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  • Piyush
    Any doubt then you can ask
    Likes(1) Reply(1)
    Ankur Rao
    how
  • Piyush
    I think Both the statements are correct.
    Likes(1) Reply(3)
    Ankur Rao
    how?
  • Satpal singh
    if supS is finite given it means set is non empty
    Likes(0) Reply(3)
    Ankur Rao
    okk
  • Satpal singh thankyou
    if S was subset of extended real number system then it would be false option
    Likes(0) Reply(1)
    Ankur Rao
    and for option statement 1 take s=empty. then it will be false
  • Ankur Rao
    how option b is false
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  • Satpal singh
    supremum and infimum of set of real numbers does not exist
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  • Satpal singh
    supremum of extended real numbers is infinity
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  • Satpal singh
    b ,c are correct options
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