Graphing Inequality : lx-yl + lxl - lyl ≤ 2

[Kyle1]

Sketch the region in the plane consisting of all points (x,y) such that lx-yl + lxl - lyl ≤ 2
I don't know exactly the most appreciated solution to this kind of problem. Can you guys show me a clear answer and if possible, a careful graph please?

 

[MarkFL]

Hello and welcome to MHB, Kyle! :D

We ask that our users show what they have tried when posting questions, as this let's our helpers know where you are stuck or what you may be doing wrong, and this way we can offer you the best help possible.

Can you post your work so far?