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# Graphing inequality (Tomato subjective 90)

Problem: Draw the region of points $${\displaystyle{(x,y)}}$$ in the plane, which satisfy $${\displaystyle{|y| {\le} |x| {\le} 1}}$$.

Solution: $${\displaystyle{|y| {\le} |x| {\le} 1}}$$ region will bounded by lines $${\displaystyle{x = y}}$$, $${\displaystyle{x = -y}}$$, $${\displaystyle{x = -1}}$$ & $${\displaystyle{x = 1}}$$. Why is that?

First note that $$|x| \le 1$$ implies: