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Solve Inequalities

In this worksheet, students will practise solving inequalities.

'Solve Inequalities' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Difficulty level:  

Worksheet Overview

This activity is about solving inequalities.


Inequalities will give you a range of answers for an unknown which could be greater than (>), greater than or equal to (≥), less than (<), less than or equal to (≤).


They are solved in the same way as equations, either by working backwards doing inverses, or carrying out the same operation to each side.


For example:

4x - 6 > 26

Solve it exactly as if it were an equals sign.


Add 6 to both sides:

4x - 6 + 6 > 26 + 6

4x > 32


Divide both sides by 4:

x > 8

So, we know that x > 8


Just one operation needs care - multiplying or dividing each side by a negative number will reverse the inequality sign.


This can be illustrated as follows:


We know that 10 > 4

Multiplying each side by -2 gives -20 > -8 


This is obviously NOT TRUE

Reversing the sign makes it correct -20 < -8 


Let's have a go at some questions now.

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