Supremum & infimum of the set of all rational numbers

[rohithsen]

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}

 

[micromass]

Hi rohitshen!

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?

 

[mathman]

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}

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