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Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of a linear inequality: ______________________ ________________________________________________

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Determine whether the ordered pair is a solution of the inequality. 1. (–2, 4); y x – 4

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Determine whether the ordered pair is a solution of the inequality. 3. (4, 5); y x – 7

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Because there are an infinite number of solutions to a linear inequality, we need to graph the linear inequality to show all of the solutions.

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GRAPHING LINEAR INEQUALITIES Step 1Example: y 2x – 3 Step 2 Step 3

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Graph the solutions to the given linear inequalities. 5. 5x + 2y > –8 6. 4x – y + 2 ≤ 0

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Graph the solutions to the given linear inequalities. 7. 4x – 3y > 12 8.

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Write a linear inequality to represent the given graph. 9. 10.

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Write a linear inequality to represent the given graph. 11. 12.

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