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Published byAleesha Fields Modified over 9 years ago

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Essential Question: How do you solve a system of inequalities by graphing?

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Solving a system of inequalities Graph and shade both inequalities Solution is where the two shaded regions meet It helps if you either: ▪ Use two different color pens for shading ▪ Use two different techniques (up & down lines, left & right lines) for shading

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x – 2y > 6 y < - 3 / 2 x + 5 Solve both inequalities for y

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x – 2y > 6 y < - 3 / 2 x + 5 Solve both inequalities for y y < ½ x – 3 y < - 3 / 2 x + 5 Graph each equation on the same grid

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x – 2y > 6 y < - 3 / 2 x + 5 Solve both inequalities for y y < ½ x – 3 y < - 3 / 2 x + 5 Graph each equation on the same grid

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Your turn: y -4x + 2 Solve both inequalities for y Graph each equation on the same grid

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Your turn: y -4x + 2 Solve both inequalities for y y -4x + 2 Graph each equation on the same grid

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Assignment Page 136 Problems 4 – 15, all For problems 4 - 6, you’re simply substituting (-3, 3) for (x, y) and determining if the inequalities both hold true or not.

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