Introduction Solving Inequalities

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Solving Inequalities
Introduction

Explanation

Objectives

Special Notation

Basic Solving Rules

Linear Inequalities

Examples

Example 1

In this course you will also need to be able to use the mathematical shorthand which describes a statement such as
"I'm talking about all numbers greater than 4."

We have special symbols to represent such statements, which we call "inequalities."

For example, if we write " x > 4 ," we have described all numbers that are greater than 4.

Similarly, if we write " 0 < x < 1 ," we have described all numbers that are between 0 and 1, but not including 0 and 1.

Question: How many numbers are there between 0 and 1?

I hope you said "there's a bunch!"

In fact, there are infinitely many numbers between 0 and 1.

We represent this fact with a "number line graph" as follows: