Hi,
I started with Maple recently and so I`m not familiar with it`s concepts at all.
Browsing the help system I couldn`t find a common way to do calculations with ranges.
Maybe my approach is wrong. Give me a hint.

Conversion from relations to ranges are fairly easy.
A := {0 < x and x < 2};
a := map(solve, A);
B := {1 <= x and x <= 3};
b := map(solve, B);