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3.7 Graphing Inequalities In Two Variables

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

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

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

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Ex 2) -3 < x ≤ 4 x ≤ 4 x > -3 S

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

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

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

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