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**Solving Rational Equations and Inequalities**

Objective: Use algebra to solve rational inequalities.

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Example 1

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Example 1

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Example 2

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Example 2

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Example 2

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Extraneous Solutions Sometimes solving a rational equation introduces extraneous solutions. An extraneous solution is a solution to a resulting equation that is not a solution to the original equation. Therefore, it is important to check your answers.

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Example 3

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Example 3

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Example 3

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Try This Solve

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Try This Solve

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Example 4

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Example 4

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Example 4

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Try This Solve If x+2 > 0, then x > -2

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**Try This Solve If x+2 > 0, then If x + 2 < 0, then**

x > x < -2

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Example 5

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Example 5

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Example 5

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Example 5

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Homework Pages 9-27 odd

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Multiplication and Division Property of Inequalities When c is positive, if a > b, then a c > b c When c is negative, if a > b, then a c < b c.

Multiplication and Division Property of Inequalities When c is positive, if a > b, then a c > b c When c is negative, if a > b, then a c < b c.

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