### Solving Rational Equations and Inequalities

To solve a rational equation, multiply each term on both sides by the LCD of all the denominators in the equation. Then solve the resulting equation, which has no fractions.

Always check for extraneous solutions – values that make one or more of the denominators equal to 0. Exclude such values from the solution set. Better yet, before solving the equation, determine the values that must be excluded by setting each denominator equal to 0 and solving. Then you will recognize an extraneous solution as soon as it appears.

### Solving Rational Equations and Inequalities

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Rational Equations 0:15
- Example: Not Rational Equation
- Example: X in Denominator
- Example: LCD
- Example: Rational Equations 5:19
- Extraneous Solutions 12:08
- Example
- Rational Inequalities 15:31
- Example
- Example: Rational Inequalities 12:05
- Lecture Example 1 32:06
- Lecture Example 2 35:18
- Additional Example 3
- Additional Example 4

0 answers

Post by Arpana Duggal on July 17, 2013

Can you please explain everything more carefully?