1. 2.7 Two-Variable Inequalities

2. y _____ dashed line. This means that the line is NOT part of the solution. y _____ dashed line. This means that the line is NOT part of the solution.

3. y _____ solid line. This means that the line IS part of the solution. y _____ solid line. This means that the line IS part of the solution.

4. Which way do you shade the graph? Graph the inequality y > -x + 2 Which way do you shade? - Pick a point, not on the line. Plug it in and see if the equation is true.

5. Which way do you shade the graph? Graph the inequality y > -x + 2 What is the easiest point to pick? (0,0) Plug in – 0 > - (0) + 2

6. Which way do you shade the graph? Graph the inequality y > -x + 2 0 > - (0) + 2 Is this true? NO. So don’t cover this point; shade the other direction.

7. What if the answer WAS true? Graph the inequality y < -x + 2 0 < - (0) + 2 Is this true? YES. So DO cover this point; shade the graph to cover the point.

8. Practice: graph each inequality a. y < 3x – 2 b. y < |x + 4| - 3 c.y > |x - 3| + 2