Algebra 2 9/22/14 Bellwork:

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 5x – 2y < 6? a.(0, -3) b.(5, 5) c.(1, -2) d.(3, 3)

2.8 – Graph Linear Inequalities in Two Variables Example 2: 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 3: Graph the following graphs in a coordinate plane. a.x < 2 b.5x – 2y < -4 Note: Boundary Lines for are dashed lines. Boundary Lines for = are shown as solid.

2.8 – Graph Linear Inequalities in Two Variables Example 4: Graph the following graphs in a coordinate plane. y > 2x + 3 Note: Boundary Lines for are dashed. Boundary Lines for = are shown as solid.

2.8 – Graph Linear Inequalities in Two Variables Example 5: Graph y > -2|x – 3| + 4 Note: Boundary Lines for are dashed. Boundary Lines for = are shown as solid.

9/22/14 Algebra 2 Homework Due 9/23/14: Pages Exercises: 3 – 6 All, 8 – 18 Even, 22, 24