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Graphing and Solving Inequalities In Two Variables = Medina 1/06/09 ( Revised:1/3/10 DM)

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Presentation on theme: "Graphing and Solving Inequalities In Two Variables = Medina 1/06/09 ( Revised:1/3/10 DM)"— Presentation transcript:

1 Graphing and Solving Inequalities In Two Variables = Medina 1/06/09 ( Revised:1/3/10 DM)

2 Graphing Inequalities in Two Variables Is less than < Is less than or equal to < Is greater than > Is greater than or equal to > Medina 1/06/09 ( Revised:1/3/10 DM) Solve - Graph Graphing Lines Solve - Graph Graphing Lines

3 Lesson 6.8: Graphing Linear Inequalities in Two Variables Step 1: Write in Step 2: Identify the m & b Step 3: Plot the y-intercept Step 4: Plot more points according to the slope Step 5: Decide if the line is dotted or solid Step 6: Decide where to shade by looking at the inequality sign & the y-axis. Medina 1/06/09 ( Revised:1/3/10 DM)

4 Lesson 6.8: Graphing Linear Inequalities in Two Variables Step 1: Write equation in: Slope Y-intercept Step 2: Identify the m & b Medina 1/06/09 ( Revised:1/3/10 DM)

5 Lesson 6.8: Graphing Linear Inequalities in Two Variables Step 3: Plot the y-intercept x y Step 4: Plot more points according to the slope -4 -2 -4 4 4 2 2 Step 5: Decide if the line is dotted or solid Step 6: Decide where to shade by looking at the inequality sign & the y-axis. Medina 1/06/09 ( Revised:1/3/10 DM)

6 Lesson 6.8: Graphing Linear Inequalities in Two Variables Step 1: Write equation in: Slope Y-intercept Step 2: Identify the m & b Medina 1/06/09 ( Revised:1/3/10 DM)

7 Lesson 6.8: Graphing Linear Inequalities in Two Variables Step 3: Plot the y-intercept x y Step 4: Plot more points according to the slope -4 -2 -4 4 4 2 2 Step 5: Decide if the line is dotted or solid Step 6: Decide where to shade by looking at the inequality sign & the y- axis. Medina 1/06/09 ( Revised:1/3/10 DM)

8 Lesson 6.8: Graphing Linear Inequalities in Two Variables y ≤ 2 x y -3 3 1 1 3 Medina 1/06/09 ( Revised:1/3/10 DM)

9 Lesson 6.8: Graphing Linear Inequalities Slope-Intercept Method. x > -2 -4 -2 0 2 4 x y Medina 1/06/09 ( Revised:1/3/10 DM)


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