1. Linear Inequalities
Solution to inequality in one variable – interval on number line
Solution to inequality in two variables – points in the plane
Graph equation
Use solid line or curve if ≤ or ≥. Use dashed if < or >.
Test a point to see if it belongs or not.
Shade appropriate region.
Solution to system of inequalities in two variables – overlap
Do above steps for each inequality.
The shaded overlap is the solution, all points that satisfy all inequalities.

2. Example 1 4 2 2 6
Does (0, 0) satisfy the inequality?

3. Example 2 Intersections? Does (0, 0) satisfy first inequality?4 2 2 6
Does (0, 0) satisfy first inequality?
So every point in the region with (0, 0) is
Does (0,0) satisfy second inequality?

4. Example 3
Intersection? 80 60 40
Corner Points: 20 80
100

5. Example 4
Intersections? 8 6 4
Corner Points: 2 8 10

6. Example 5 Intersection? Corner Points: 60 50 40 30 20 10 20 40 60 80
100