These lessons, with videos, examples and step-by-step solutions, help Algebra students learn how to solve rational equations and inequalities.

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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)/(x^{2} - 4x - 5) + (x + 3)/(x^{2} - 25) = (2x + 11)/(x^{2} + 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)/(x^{2} - 2x - 8) = (5x - 1)/(x^{2} - 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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