Question

How do you graph the inequality `y<= x - 5` and `y>=-x - 4`?

Answer 1

Considered as a system of 2 inequalities, the graph is a quarter-plane area below line `y=x-5` and above `y=-x-4` (including the border).

Explanation:

We have to construct an intersection of two half-planes.

One is below (because of sign of inequality `<=`) line `y=x-5`
graph{x-5 [-10, 10, -5, 5]}

Another - above (because of sign of inequality `>=`) line `y=-x-4`
graph{-x-4 [-10, 10, -5, 5]}

The intersection of these two areas is an East-oriented (towards the right hand side from a point of intersection of these two lines) quarter-plane, including its border.