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Try reviewing these fundamentals first.

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- AU Maths Extension 1
- Rational Functions

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

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)$\frac{2y}{y^{2}-1} \geq \frac{2}{y+1} + \frac{1}{y-1}$