# Solving Rational Equations and Inequalities

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Examples, solutions, videos, worksheets, and activities to help Algebra students learn how to solve rational equations and inequalities.

The following figure shows how to solve rational equations. Scroll down the page for more examples and solutions.

Solve a rational equation whose LCD is made of three binomials
Example:
(x - 4)/(x2 - 4x - 5) + (x + 3)/(x2 - 25) = (2x + 11)/(x2 + 6x + 5) Solving Rational Equations and Inequalities Part 1
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the first part of a three part lesson.
Examples:
Solve 10/(2x - 3) = 2
Solve (x - 5)/(x2 - 2x - 8) = (5x - 1)/(x2 - 4)

Solving Rational Equations and Inequalities Part 2
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the second part of a three part lesson.
Examples:
Solve (x - 3)/(x + 4) = ≤ 5
Solving Rational Equations and Inequalities Part 3
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the third part of a three part lesson.
Examples:
Solve (x + 3)/(x + 1) = ≥ (x - 2)/(x - 3)

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