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 < CAx + By < CAx + By > CAx + 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

2.8 – Graph Linear Inequalities in Two Variables

Example 3:

Graph the following graphs in a coordinate plane.

a. x < 2b. 5x – 2y < -4

Note: Boundary Lines for < or > are dashed lines. Boundary Lines for <= or >= 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 < or > are dashed. Boundary Lines for <= or >= are shown as solid.

2.8 – Graph Linear Inequalities in Two Variables

Example 5:

Graph y > -2|x – 3| + 4

Note: Boundary Lines for < or > are dashed. Boundary Lines for <= or >= are shown as solid.

9/22/14 Algebra 2

Homework Due 9/23/14:• Pages 135 - 136• Exercises: 3 – 6 All, 8 – 18 Even, 22, 24