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Solve Inequalities

In this worksheet, students practise solving inequalities.

'Solve Inequalities' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

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

Difficulty level:  

Worksheet Overview

This worksheet is about solving inequalities.

Inequalities will give you a range of answers for you 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.

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 .

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