Solving Rational Equations and Inequalities Objective: Use algebra to solve rational inequalities.

Example 1

Example 1

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Example 2

Example 2

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.

Example 3

Example 3

Example 3

Example 3

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Example 4

Example 4

Example 4

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

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

Try This Solve

Example 5

Example 5

Example 5

Example 5

Homework Pages 517-518 9-27 odd