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Supremum & infimum of the set of all rational numbers

  1. Jun 30, 2011 #1
    Hi everybody,
    Please help me to find supremum & infimum of the set of rational numbers between √2 to √3

    (ie) sup & inf of {x/ √2 < x < √3 , where x is rational number}
  2. jcsd
  3. Jun 30, 2011 #2
    Hi rohitshen! :smile:

    If you tell us what you've tried then we'll know where to help! Did you have any guess for what the sup and inf could be?
  4. Jun 30, 2011 #3


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    Science Advisor

    There is an approach to defining real numbers (Dedekind cut) where √2 and √3 would be defined as the inf and sup respectively.
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