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Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started Now- Intro Lesson10:28
- Lesson: 1a8:32
- Lesson: 1b9:48
- Lesson: 2a10:39
- Lesson: 2b6:05
- Lesson: 2c11:51
- Lesson: 3a8:03
- Lesson: 3b9:27

Basic Concepts: Solving polynomial inequalities

Related Concepts: Solving rational equations

Steps to solving rational inequalities:

1. Rewrite in the form $\frac{p(x)}{q(x)}$ > $0$ (symbol can be different)

2. Solve $p(x) = 0$ and $q(x) = 0$

3. Put answers from *step 2* on a number line and check end points and test values

- Introduction
__Introduction to solving rational inequalities__i) What is a rational inequality?

ii) How to solve rational inequality?

iii) Section Overview

- 1.
**Solving Rational Inequalities With One Fraction**Solve

a)$\frac{x-5}{x+1}$ > $0$b)$\frac{x^{2}+5x+6}{x^{2}-16}$ < $0$ - 2.
**Solving Rational Inequalities With Two Fractions**Solve

a)$\frac{x-3}{x+2} \leq 6$b)$\frac{1}{x-5} \geq \frac{3x}{x-5}$c)$\frac{2}{x}$ < $\frac{x}{5x - 12}$ - 3.
**Solving Rational Inequalities With Three Fractions**Solve

a)$\frac{5}{3x} - \frac{4}{x} \geq \frac{1}{-9}$b)$\frac{2y}{y^{2}-1} \geq \frac{2}{y+1} + \frac{1}{y-1}$

12.

Rational Functions and Expressions

12.1

Quotient rule of exponents

12.2

Power of a product rule

12.3

Power of a quotient rule

12.4

Negative exponent rule

12.5

What is a rational function?

12.6

Point of discontinuity

12.7

Vertical asymptote

12.8

Horizontal asymptote

12.9

Slant asymptote

12.10

Solving rational equations

12.11

Solving rational inequalities

12.12

Simplifying rational expressions and restrictions

12.13

Adding and subtracting rational expressions

12.14

Multiplying rational expressions

12.15

Dividing rational expressions

12.16

Applications of rational equations

12.17

Simplifying complex fractions

12.18

Partial fraction decomposition