6.6 Linear Inequalities TSWBAT sketch the region defined by linear inequality Chapter 6 Algebra 1 Ms. Mayer

Overview 1. Graphing Linear Inequalities - solid line or dotted line - which side to shade 2. Writing Inequalities from a graph

Graphing Linear Inequalities in Two Variables How would you graph the equation x + y = 3? What happens if the “=“ changes to “≤” or “≥”? We get shading!!! x + y = 3 -x y = -x + 3 m = -1 b = 3

Solid or dashed? The lines can be graphed as a solid line or a dashed (dotted) line. When do you think it’s solid, and when is it dashed? Think about graphing points on a number line; when is it open and when is it closed? is … ≤ or ≥ is …

Graphing linear inequalities with two variables Less than Greater than Less than or equal to Greater than or equal to

Graphing linear inequalities with two variables Top row: Less than ˂ Greater than ˃ Less than or equal to ≤ Greater than or equal to ≥

Graphing linear inequalities with two variables Middle row : POSITIVE SLOPE

Graphing linear inequalities with two variables Bottom row : NEGATIVE SLOPE

Graphing Linear Inequalities Steps: 1. Graph the equation (solve for y) 2. Draw a Dotted or Solid line 3. Pick a point not on a line (any point) 4. Shade the correct side - True – shade the same side - False – shade the opposite side

Writing an Inequality Write an inequality for each graph. 5.6.

Write an inequality for each graph Writing an Inequality

Homework Graphing Inequalities Solid line/Dotted line Shading HW: – 6.6 worksheet