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