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3.7 Graphing Inequalities In Two Variables

3.7 Graphing Inequalities In Two Variables. Get y by itself Graph If ≤ or ≥: use solid line If < or >: use dashed line If < or ≤: shade below the line If > or ≥: shade above the line. y ≤ -2x. S. Ex1) Graph 2x + y ≤ 0 y ≤ -2x. S. y > x + 1. Ex2) Graph

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3.7 Graphing Inequalities In Two Variables

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  1. 3.7 Graphing Inequalities In Two Variables

  2. Get y by itself • Graph • If ≤ or ≥: use solid line If < or >: use dashed line • If < or ≤: shade below the line If > or ≥: shade above the line

  3. y ≤ -2x S Ex1) Graph 2x + y ≤ 0 y ≤ -2x

  4. S y > x + 1 Ex2) Graph -2x + 2y > 2 2y > 2x +2 y > x + 1

  5. x ≤ 4 x > -3 S Ex 2) -3 < x ≤ 4

  6. y ≤ -x + 4 Ex3) x + y ≤ 4 x – y < 4 y ≤ -x + 4 -y < -x + 4 y ≤ -x + 4 y > x - 4 y > x - 4

  7. y ≤ -x + 4 S Ex4) x + y ≤ 4 x – y < 4 y ≤ -x + 4 -y < -x + 4 y ≤ -x + 4 y > x - 4 y > x - 4

  8. y < 2x + 1 y > x S Ex 5) y < 2x + 1 y > x y ≥ (1/2) x - 3 y ≥ (1/2) x - 3

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