# How do you graph absx<=absy?

See below...

#### Explanation:

One way to understand what $\left\mid x \right\mid \le \left\mid y \right\mid$ is to see that, within the absolute value sign, we can have both positive and negative values. So let's rewrite this to be:

$\pm x \le \pm y$

So what does this actually mean? Let's first graph the lines themselves and then work on shading next:

graph{(y-x)(y+x)=0}

When $x = 0 , y = 0$
When $x = 1 , y \le 1 , - 1 \implies y \le 1$
When $x = - 1 , y \le 1 , - 1 \implies y \le 1$