exercise too hard for mathematica. Lol

ialink

I entered the following in mathematica: Reduce[Abs[x - y] + Abs[x] - Abs[y] (equal or smaller then) 2, {x, y}]. By hand i already figured out that there are an infite number of solutions. Even if you use the reals only in the result. My guess is mathematica can't describe it in a proper domain and range and has to name every solution which i already showed are infine. I found it plain fun that something i did by hand can't be expressed by mathematica or am i mistaken?

grtz
Ivar