1. Warm Ups…  Graph the following three lines…  y = 2x – 3  y = -1/3x + 1  y = 4x - 2

2. CHAPTER 5.6 NOTES Graphing Linear Inequalities

3. Vocabulary Terms  Boundary – A line or curve that separates the coordinate plane into regions.  Half-plane – The region of the graph of an inequality on one side of a boundary.  Closed half-plane – The solution of a linear inequality that includes the boundary line.  Open half-plane – The solution of a linear inequality that does not include the boundary line.

4. Example: 2y – 4x > 6 Step 1: Put into Slope- Intercept Form Step 2: Graph the line. (Solid or Dashed???) Step 3: Shade. (Test a point, the Origin usually works well!)

5. Example: 2y – 4x > 6 Step 1: Put into Slope- Intercept Form Step 2: Graph the line. (Solid or Dashed???) Step 3: Shade. (Test a point, the Origin usually works well!)

6. Example: x + 4y > 2 Step 1: Put into Slope- Intercept Form Step 2: Graph the line. (Solid or Dashed???) Step 3: Shade. (Test a point, the Origin usually works well!)

7. Example: x + 4y > 2 Step 1: Put into Slope- Intercept Form Step 2: Graph the line. (Solid or Dashed???) Step 3: Shade. (Test a point, the Origin usually works well!)

8. Example: 2x + 3 < 7 Step 1: Put into Slope- Intercept Form Step 2: Graph the line. (Solid or Dashed???) Step 3: Shade. (Test a point, the Origin usually works well!)

9. Example: 2x + 3 < 7 Step 1: Put into Slope- Intercept Form Step 2: Graph the line. (Solid or Dashed???) Step 3: Shade. (Test a point, the Origin usually works well!)

10. Word Problem… FOOD You offer to go to the local deli and pick up sandwiches for lunch. You have $30 to spend. Chicken sandwiches cost $3.00 each and tuna sandwiches are $1.50 each. How many sandwiches can you purchase for $30? A.11 chicken sandwiches, 1 tuna sandwich B.12 chicken sandwiches, 3 tuna sandwiches C.3 chicken sandwiches, 15 tuna sandwiches D.5 chicken sandwiches, 9 tuna sandwiches