1. Linear Inequalities in Two Variables

2.  Tell whether each statement is true or false when x = -2 and y = 1: ◦ 2x – y < 5 TRUE ◦ x + 3y > 0 TRUE

3. New vocabulary: Linear inequality in two variables Half-plane

4.  Can be written in one of these forms where A, B, and C are constants: ◦ Ax + By < C ◦ Ax + By > C An ordered pair (x, y) is a solution of a linear inequality if the inequality is true when the values of x and y are substituted into the inequality.

5.  Check whether the given ordered pair is a solution of 2x + y < 5 a. (1,4)b. (2, -1)

6.  Check whether the given ordered pair is a solution of x – 3y > 4 a. (0, 0)b. (4, -1)c. (-2, -2)

7.  The graph of a linear inequality in two variables is the graph of all solutions of the inequality. The boundary line of the inequality divides the coordinate plane into two half-planes.  Shaded half-plane: points that are solutions  Non-shaded half-plane: contains the points that are not solutions

9.  A dashed line indicates that the points on the line are NOT solutions. ( >, < )  A solid line indicates that the points on the line ARE solutions. ( >, < )

11.  x > -1  y > 1  y < -3  x < 4

12.  Graph y < 2x in a coordinate plane  Graph 3x – 2y > 8 in a coordinate plane

14.  Graph the inequality in a coordinate plane: a. y > xb. y < -3xc. x + 2y < 6

17. p. 182 – 183 16-28 even, 32-34, 36-42 even, 44-46