1. INTEGRATED MATH 2 INEQUALITIES IN TWO VARIABLES LESSON OBJECTIVES: 1)Graph the solution set of a linear inequality in two variables. 2)Graph the solution set of a system of inequalities in two variables.

2. 3)Solve linear programming problems involving two independent variables.

3. Many problems that arise in making plans for a business involve functions with two or more variables. For example, income for the Old Dominion Music Festival is given by the function I = 8a + 12 g, where a is the number of admission tickets sold in advance and g is the number of tickets sold at the game.

4. If expenses for operating the two-day festival total $2,400, then solutions of 8a + 12g = 2,400 give (a, g) combinations for which festival income will equal operating expenses. But festival organizers are probably interested in earning more than $2,400 from ticket sales.

5. They want solutions to the inequality 8a + 12g > 2,400. a.For each point on the diagram, give the (a, g) coordinates and the festival income from that combination of tickets sold in advance and tickets sold at the gate.

8. A.I = 8(100) + 12(200) = 3,200 B.I = 4,600 AT (200, 250) C.I = 5,400 AT (300, 250) D.I = 3,800 AT (250, 150) E.I = 3,000 AT (300, 50) F.I = 2,000 AT (250, 0) G.I = 2,200 AT (200, 50) H.I = 1,400 AT (100, 50) I.I = 2,200 AT ( 50, 150)

15. Internet Calculator Online www.coolmath.com/graphit Use this website to graph your inequalities!! It is a free website and is very useful if you do not have a graphing calculator.

16. HOMEWORK!! Complete the two homework pages. You are allowed to work in groups for the homework. Have a great day!!