INEQUALITIES

INEQUALITIES

Introduction

An inequality says that two values are not equal. 

a ≠ b says that a is not equal to b

There are other special symbols that show in what way things are not equal.

a < b says that a is less than b
a > b says that a is greater than b
(those two are known as strict inequality) 

a ≤ b means that a is less than or equal to b
a ≥ b means that a is greater than or equal to b.




Solving Inequalities

Sometimes we need to solve Inequalities like these:

Symbol	Words	Example
>	greater than	x + 3 > 2
<	less than	7x < 28
≥	greater than or equal to	5 ≥ x - 1
≤	less than or equal to	2y + 1 ≤ 7

Solving

Our aim is to have x (or whatever the variable is) on its own on the left of the inequality sign:

Something like:		x < 5
or:		y ≥ 11

We call that "solved".

Examples Solving Inequalities

References:

http://www.mathsisfun.com/definitions/inequality.html

http://www.mathsisfun.com/algebra/inequality-solving.html

https://youtu.be/lo1kvxu-Dc8