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

Aug 1, 2016

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 $\le$) line $y = x - 5$
graph{x-5 [-10, 10, -5, 5]}

Another - above (because of sign of inequality $\ge$) 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.