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## 6.6 Linear Inequalities

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**6.6 Linear Inequalities**TSWBAT sketch the region defined by linear inequality Chapter 6 Algebra 1 Ms. Mayer**Overview**• 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 -x -x y = -x + 3 m = -1 b = 3 What happens if the “=“ changes to “≤” or “≥”? 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**Middle row:**Graphing linear inequalities with two variables**Bottom row:**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 • Solid line/Dotted line • Shading • HW: • 6.6 worksheet