Warm Up: Graph the following inequality. Test Point: (0,0) Section 9.4 – Systems of Inequalities Graphing Calculator Required (3/2)x+2.

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Presentation transcript:

Warm Up: Graph the following inequality. Test Point: (0,0) Section 9.4 – Systems of Inequalities Graphing Calculator Required (3/2)x+2

Ex. 1 Solve by graphing.

Section 9.4 – Systems of Inequalities Graphing Calculator Required After this section, you should be able to: Graph a system of inequalities Find the vertices of the solution of a system of inequalities.

Procedure: 1. Solve each inequality for y. Document this step. 2. Enter each inequality into the graphing calculator in an appropriate window. 3. Sketch graph on to paper, shading correct region. 4. Label the vertices of the solution. Note: Change homework to

(-1, 5) (2, 5) (0.5, 2) a. Graph the system of inequalities. b. What are the vertices of the solution? Write your answers as ordered pairs.

(2, 2) (6, -6) (-1.8, -0.8)

First Quadrant (0, 6) (0, 4) (0.6, 1.6) (3, 0) (12, 0)

( , ) (8.5, 4) (0.25, 4)

(-3, 21) (0, -3) (-3, -3)

Things you might see: 1. A point of intersection is not one of the vertices of your shaded region. 2. A system with no solution. 3. An unbounded solution set (only 1 vertex).

Section 9.4 – Systems of Inequalities Graphing Calculator Required After this section, you should be able to: Graph a system of inequalities Find the vertices of the solution of a system of inequalities. Homework: Pg. 685 #33, 34, 37, 38, 39 Note: Change inequality signs on homework to