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Chapter 2 Section 7 Two-Variable Inequalities

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Linear Inequality Linear Inequality – an inequality in two variables whose graph is a region of the coordinate plane that is bounded by a line

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Steps to Graph a Linear Inequality 1. Solve for y 2. Graph using slope intercept form Solid line if ≥ or ≤ Dashed line if > or < 3. Pick a coordinate pair (x, y) not on the line (make a star) Check to see if it makes the inequality true or false (plug it in) 4. Shade the region appropriately

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Graph the inequality y < ½ x – 3

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Graph 4x + 2y ≤ 4

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Try these problems

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Homework P. 102 # 1-9, 23-29

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