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

##### 1 Answer

Aug 1, 2016

Considered as a *system of 2 inequalities*, the graph is a *quarter-plane* area below line

#### Explanation:

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

One is below (because of sign of inequality

graph{x-5 [-10, 10, -5, 5]}

Another - above (because of sign of inequality

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.