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1. Warm-Up 3/31 C

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Rigor: You will learn how to solve polynomial inequalities and rational inequalities. Relevance: You will be able to use polynomial inequalities and rational inequalities to solve real world problems.

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2-6 Nonlinear Inequalities

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Example 1: Solve the inequality. The graph supports the conclusion.

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Example 2: Solve the inequality. The graph supports the conclusion. Step 2 Determine end behavior. Step 3 Use that there is a sign change at zeros to complete chart.

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Example 3: Solve the inequality. The graph supports the conclusion. Step 2 Determine end behavior. The graph supports the conclusion. Step 2 Determine end behavior. V(– 2.5, 1.75) opens up

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Rational Inequality must include the zeros of both the numerator and the denominator in the sign chart.

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Example 4: Solve the inequality. LCD: (x – 6)(x + 1) Step 1 Find zeros and undefined points.

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math! 2-6 Assignment: TX p145, 2-26 even

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