1. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Solve and graph a linear inequality in two variables. Use a linear inequality in two variables to solve real-world problems. 3.3 Linear Inequalities in Two Variables

2. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Term linear inequality in two variables 3.3 Linear Inequalities in Two Variables

3. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Linear Inequality in Two Variables A  0, B  0 3.3 Linear Inequalities in Two Variables Ax + By > C Ax + By  CAx + By  C Ax + By < C

4. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Graphing a Linear Inequality in the Coordinate Plane 1. Graph the related linear equation. 3.3 Linear Inequalities in Two Variables Use a solid line for  or . Use a dashed line for.

5. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Graphing a Linear Inequality in the Coordinate Plane 2. Shade the appropriate region. 3.3 Linear Inequalities in Two Variables y  mx + b or y < mx + b below boundary line y  mx + b or y > mx + b above boundary line

6. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Graphing a Linear Inequality in the Coordinate Plane 2. Shade the appropriate region 3.3 Linear Inequalities in Two Variables x  c or x < c left of boundary line x  c or x > c right of boundary line

7. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Graph a linear inequality in two variables. 1. Solve for y. 2. Reverse the symbol if you multiply or divide both sides by a negative number. 3. Draw the boundary line (solid or dashed). 4. Shade the solution region (above or below, left or right). 3.3 Linear Inequalities in Two Variables TOC