# How do you graph systems of inequalities?

##### 1 Answer

When we say

Similarly, if we say

If there are two inequalities, each of them will mark some points on the coordinate plane. But some of the points on the coordinate plane will be marked by both of them. This means, those points are satisfying both of the inequalities so those points are our solution set.

**Example**

To graph

We will graph

Then, the coordinate plane will be divided in two parts by the line. Now select a random point from each part.

Lets say

Lets test these points with

So the points at the part where

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

Now lets continue with

We will use the base line

Then we will select

Test them:

So the points at the part where

graph{y>=x-2 [-10, 10, -5, 5]}

Now you'll see the intersection of the shaded areas. Shade it with another color and thats it.