Is it possible to make a plot of a cut of the rational line on wolfram alpha?
e.g. A=\{x\in\mathbb{Q}:x\leq0\vee x^2<2\}, B=\{x\in \mathbb{Q}:x>0\wedge x^2\geq 2\}
Before attempting the cuts, how would you visualize the set of rationals itself, in such a way that you distinguish it from the set of reals? It is an interesting problem.