Ankur posted an Question
January 28, 2021 • 03:27 am 30 points
  • IIT JAM
  • Mathematics (MA)

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 bo

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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    Satpal singh

    if supS is finite given it means set is non empty

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    okk

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    but I didn't get the concept of extended real line

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    seee this video https://youtu.be/X6vCOdyfrQg

  • comment-profile-img>
    Satpal singh best-answer

    if S was subset of extended real number system then it would be false option

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    and for option statement 1 take s=empty. then it will be false

  • comment-profile-img>
    Satpal singh

    supremum and infimum of set of real numbers does not exist

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