Is it possible to make graphs of subsets of Rational Numbers in Mathem

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Creating subsets of rational numbers in Mathematica for graphing purposes poses challenges due to the density of rational numbers in any interval, such as [0, 1]. The discussion highlights the difficulty in graphing a set of rational numbers since they are dense, meaning that between any two rational numbers, there are infinitely many others. While the idea of graphing a segment with "holes" for irrational numbers was considered, it was concluded that this cannot be accurately represented in a traditional graphing sense. A workaround was found using a tablet and OneNote to visually illustrate the concept with open circles, but no direct solution in Mathematica was identified for this specific graphing task.
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Is it possible to make subsets of rational numbers in Mathematica using the plot command, or any other command? Ie., say I want to graph the set of rational numbers from 0 to 1.
 
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The rationals are dense in [0,1]. What do you mean by "make subsets"? How would you "graph" a set?
 
Thats what I was thinking. Due to the density of ℚ its not possible. By graphing, I meant if it was possible to create a segment of say length 1, with "holes" (no irrationals). Ofcourse, it would not be an exact, but something that approximated it.

Anyways, it cannot be done. I found a workaround by using a tablet and using one note to draw open circles to illustrate what I was aiming for.

Thanks.
 

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