# How do you graph #abs(x+y)>1#?

##### 1 Answer

There's plenty of ways one could do this, but let's just start by thinking about what this could look like.

We will think about the boundary of this region:

Here we think about the two cases of absolute value: positive and negative.

If

which is just a line going down from (0,1) to (1,0).

If

which is a line going from (-1,0) to (0, -1).

Therefore, there are three regions:

- Below the left line

- Between the lines

- Above the right line

It is clear that the more outside of those you get, the more

In case my description wasn't sufficient, here's the plot:

graph{|x+y|=1 [-10, 10, -5, 5]}