Home > Maths I > Relationships > Simple equations and inequalities
Maths I
Simple equations and inequalities
With some inequalities, we deal with one number being less than another number, or with one number being greater than another number.
< stands for 'is less than'
> stands for 'is greater than'
For example, and
For the inequality , can be any number less than .
Solve the inequality .
times x is less than .
Divide both sides by .
is less than .
So the solution is:
.
So is any number less than .
Solve the inequality .
We want the term on the left-hand side, by itself.
So, take away from the left-hand side.
To balance the equation, we must do the same to the right hand side.
So, take away from the right-hand side.
This gives us,
So, .
The solution is .
Solve the inequality .
Add to both sides, to leave on the left, by itself:
So, .
Therefore, the solution is .
Solve the inequality .
Either:
(multiplying out the brackets.)
So, (subtracting from both sides.)
Therefore, .
Or:
Divide both sides of by , to get
.
Therefore
Solve .
Solve
(because .)
Solve.
(because .)
Solve .
(either from and , or from )
Now try a Test Bite
BBC © 2014 The BBC is not responsible for the content of external sites. Read more.
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.