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Lesson 6.6- Graphing Inequalities in Two Variables, pg. 352

Lesson 6.6- Graphing Inequalities in Two Variables, pg. 352. Goal : To graph inequalities on the coordinate plane. Vocabulary. Half-plane : the region of the graph of an inequality on one side of a boundary. Boundary : a line or curve that separates the coordinate plane into regions.

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Lesson 6.6- Graphing Inequalities in Two Variables, pg. 352

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  1. Lesson 6.6- Graphing Inequalities in Two Variables, pg. 352 Goal: To graph inequalities on the coordinate plane.

  2. Vocabulary • Half-plane: the region of the graph of an inequality on one side of a boundary. • Boundary: a line or curve that separates the coordinate plane into regions.

  3. Ex. 1: Ordered Pairs that satisfy an inequality. • From the set {(3, 3), (0, 2), (2, 4), (1, 0)}, which ordered pairs are part of the solution set for 4x + 2y > 8

  4. Determine which ordered pairs are part of the solution set for the inequality. 2. Y ≤ x + 1, (-1, 0), (3, 2), (2, 5), (-2, 1)

  5. Steps for Graphing Linear Inequalities 1. Determine if the graph is dashed or solid. If > or < Dashed, ≥ or ≤ Solid 2. Re-write the inequality as an equation then graph using slope-intercept form (y =mx + b) • Choose a test point. Hint: (0, 0) is the easiest • If the test point makes the inequality TRUE shade that region; if FALSEshade the opposite region.

  6. y 10 x -10 -10 10 Ex. 2: Graph 1. 2y – 4x > 6

  7. y 10 x -10 -10 10 2. Y > 4

  8. y 10 x -10 -10 10 3. Y ≤ 2x - 3

  9. y 10 x -10 -10 10 4. 4 – 2x < -2

  10. y 10 x -10 -10 10 5. 1 – y > x

  11. y 10 x -10 -10 10 6. Y < ½x - 3

  12. y 10 x -10 -10 10 7. 4x – 3y < 6

  13. y 10 x -10 -10 10 8. 3x ≤ y

  14. Summary 1. When graphing linear inequalities > or < Dashed, ≥ or ≤ Solid 2. < or > the boundary part is not a solution. • ≤ or ≥ the boundary part is a solution. • The easiest test point to choose is (0, 0) NBA #12, page 356, 12-32 even, omit 24

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