Learning Objectives:

__Math Tutoring on Solving Rational Inequalities__

A **rational inequality** would be any **inequality** that fits the form **a(x)/b(x) ˃0,** the **inequality symbol** can be different. Following are the steps to follow to solve **rational inequality. 1.** If a **rational inequality **is not in this form, we have to put it in this form so that a single **rational expression** here on the left is compared to **0. **

**2. **So once we have the **inequality** in this form, we are going to factor the numerator and denominator.

**3.** Then we will **determine **the **zeroes** of the numerator and denominator.

**4.** Then we will **plot** these **zeroes **on the number line. But the **zeroes** of the numerator can be either at closed points or open points, based upon the **inequality symbol**. The **zeroes **of the denominator will always be open points because we must exclude these values, because this is where we would have division by zero.

**5.** Once we form the **intervals,** we will test the intervals to determine the solution. Also, want to mention that we can solve **rational inequalities **by analyzing the **graph** of **y = a(x)/b(x).**

** **

** **

** **

**Learn ****‘Solving Rational Inequalities’ with AffordEdu.**

Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert.*

** **

**Hook Questions:**

*1. ** What is a rational inequality?*

*2. **What is the definition of rational equations?*

*3. **What is an example of a rational expression?*

** **

** **

** **

**Learn ‘Solving Rational Inequalities’ with AffordEdu Online One on One Math Tutoring.**

Struggling with **Solving Rational Inequalities? **Need math help for homework? You are not the only one. Fortunately, our experts in math tutoring** **are online now and are ready to help.