Krishna Shukla posted an Question
April 10, 2021 • 11:02 am 30 points
  • IIT JAM
  • Mathematics (MA)

Please tell me what is the supremum in s={x€n/x²<7} and what is infimum

please tell me what is the supremum in S={x€N/x²<7}

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    Deepak singh 1 best-answer

    clearly , infimum = 1 and supremum = 2 , if x belongs to natural no.

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    yeah that i was thinking because we are getting only two elements in the set 1 and 2

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    yes..you are correct...

  • Alka gupta Best Answer

    if x from natural numbers and set S have elements x^2 then ... S ={ 1, 4 ,9 ,16 ,........} it is clear that infimum of the set is 1 but supremum is not exist. so set S is bounded below only not bounded above

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    mam may be 2 is supremeum

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    if you send the correct qus....then according to this qus supremum of the set not exist

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    when I answered this qus then this is show me in my opportunity section { x€N | x^2

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    I just see the complete qus....and if condition is given x^2<7 then obviously set have only two elements {1,2}

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