2.8 – Graph Linear Inequalities in Two Variables A linear inequality in two variables can be written in one of these forms: Ax + By < C Ax + By > C An ordered pair (x, y) is a solution of a linear inequality in two variables if the inequality is true when the values of x and y are substituted into the inequality.

2.8 – Graph Linear Inequalities in Two Variables Example 1: Which ordered pair is a solution of 3x + 4y > 8? a.(6, -3) b.(0, 2) c.(-2, -1) d.(-3, 5)

2.8 – Graph Linear Inequalities in Two Variables Example 2: Which ordered pair is a solution of 5x – 2y < 6? a.(0, -3) b.(5, 5) c.(1, -2) d.(3, 3)

2.8 – Graph Linear Inequalities in Two Variables Example 3: Tell whether the given ordered pair is a solution of 5x – 2y < 6. (0, -4)(2, 2)(-3, 8)(-1, -7)

2.8 – Graph Linear Inequalities in Two Variables The graph of a linear inequality in two variables is the set of all points in a coordinate plane that represent the solutions of the inequality.

2.8 – Graph Linear Inequalities in Two Variables

Example 4: Graph the following graphs in a coordinate plane. a.y < -3 b.x < 2

2.8 – Graph Linear Inequalities in Two Variables Example 5: Graph the following graphs in a coordinate plane. a.y > 2x b.5x – 2y < -4

2.8 – Graph Linear Inequalities in Two Variables Example 6: Graph the following graphs in a coordinate plane. a.y > 2x + 3 b.x + 3y < 9

2.8 – Graph Linear Inequalities in Two Variables Example 7: You have two part-time summer jobs, one that pays $9 per hour and another that pays $12 per hour. You would like to earn at least $240 a week. Write an inequality describing the possible amounts of time you can schedule at both jobs. Graph the inequality. Identify three possible solutions of the inequality.

2.8 – Graph Linear Inequalities in Two Variables Example 8: Graph y > -2|x – 3| + 4