6 6 Linear Inequalities TSWBAT sketch the region

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

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

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

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? < or > is … ≤ or ≥ is …

Graphing linear inequalities with two variables Less than or Less than Greater than 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.

Writing an Inequality Write an inequality for each graph. 7. 8.

Homework Graphing Inequalities l Solid line/Dotted line l Shading l HW: – 6. 6 worksheet