Lesson 5-5 Solving Linear Inequalities Obj: The student will be able to graph and solve linear inequalities in two variables HWK: p 364 12-21 all Vocab: 1) linear inequality 2) solution of a linear inequality 3) half-plane

Tell whether the ordered pair is a solution of the inequality Ex 1) y < x + 1 (4, 5) Ex 2) y > x – 7 (1, 1)

Ex 3) y > 3x + 2 (4, 5)

Graphing Linear Inequalities Step 1: Solve the inequality for y Step 2: Graph the boundary line Step 3: Shade the half-plane that satisfies the inequality

Graph the solutions of each linear inequality. Use graph paper. Ex 4) y < 3x + 4

Ex 5) y ≥ - 2 3 x + 1

Ex 6) 4x – 3y > 12

Write a linear inequality to describe the situation. Ex 7) Sarah can spend at most $7.50 on vegetables for a party. Broccoli cost $1.25 per bunch and carrots cost $0.75 per package. Write a linear inequality to describe the situation. Graph the solution.

Ex 7c) Give two combinations of vegetables that Sarah can buy.

Ex 8) Based on all of the graphs of the examples, what conclusion can you make about the direction of the shadings?

Ex 9) Write an inequality to represent each graph

b)

c)