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3.3 Graphing Systems of Inequalities

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Steps to Graphing a System of Inequalities. 1) Graph each inequality with out shading the region. 2) Find the region that is true for all the inequalities.

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Example: 1) Graph the System of Inequalities y < 5 y ≥ 4x -1 2) 3x – 4y ≤ 12 x < 2

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System of Inequalities with No Solution There is no solution if the inequalities do not share a common region. (EX) 2x + 3y < 6 y ≥ 2/3x + 4

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Graph a system with an Absolute Value Inequality Graph the System of Inequalities: y ≤ 3 y > |x+4|

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Practice Problems: Page 169 (1-6)

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