Inequalities on graphs

What you'll learn

1. 1

   Imagine a fence that separates two fields. One side is 'less than' the fence, the other is 'greater than'.

2. 2

   If the fence is the line y = x, which side has points where y < x?

3. 3

   Drag the point so it is in the region where y < x (below the diagonal line).

4. 4

   Let's shade the region for y > 2x + 1. Follow these steps.

5. 5

   Now you try: shade the region for y < -x + 3. Use the test point (0,0) to check.

6. 6

   For y ≥ 2x - 1, is the line solid or dashed?

7. 7

   Which test point is best to decide which side to shade?