6-5: Linear Inequalities Day 1

Graphing Inequalities in the Coordinate Plane When a line is drawn in a plane, the line separates the plane into __________ distinct regions called ________________. The line itself is the ________________ of the two regions. The boundary does __________ belong in either half plane. HALF-PLANES TWO BOUNDARY NOT half-plane

To Graph a Linear Inequality: 1.Determine the boundary line: Dashed: Points on the line are included. Solid: Points on the line included. 2.Test a point to see where the graph should be shaded: 3.Shade the area of the inequality that is represented by the equation: NOT ARE Use an easy point not on the boundary line like (0,0).

Example 1: Graph y > 2x + 7 Test (0, 0) y > 2x > Test (-4, 0) y > 2x > > -1

Example 2: Graph y  -3x - 2 Test (0, 0) y ≤ -3x ≤ Test (-4, 0) y ≤ -3x ≤ ≤ 10 0 ≤ - 2

Example 3: Graph x  2 Test (0, 0) x ≤ 2 0 ≤2 Test (3, 0) x ≤ 2 3 ≤ 2 False True

Homework: p # 6-22 even

6-5: Linear Inequalities Day 2

Example 1: Give the inequality for each graph below. Slope =_________ y-intercept =_________ Inequality =______________

Example 2: Give the inequality for each graph below. Inequality =______________

Homework: p #’s 3-13