Math Help - Sketch the graph of...

1. Sketch the graph of...

$|x-y|+|x|-|y| \le 2$

2. You will have six cases:
1)x>0,y>0,x>y
2)x>0,y>0,x<y
3)x>0,y<0
4)x<0,y<0,x<y
5)x<0,y<0,x>y
6)x<0,y>0

For each of the above cases, you will get a different line(and hence region). Graph all these six lines and you will be able to graph the inequality.