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]}