Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Does it Fit the Inequality

In this worksheet, students will select solutions that fit the given algebraic inequality.

'Does it Fit the Inequality' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Algebra

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

Popular topics:   Algebra worksheets

Difficulty level:  

Worksheet Overview

Look at the word inequality.  It is a bit like the word unequal.

An inequality is like an equation but instead of both sides being equal, they are unequal.


If two things are unequal, then one will be less than the other and one will be more than the other.


You should know the following symbols:


<     means less than

>     means more than

≤     means less than or equal to

≥     means more than or equal to



If p + 3 ≤ 8, which of the following are possible solutions?


p = 3

p = 8

p = 10

p = -7.5


Working and answer

We need to find out the value of p:

p + 3 ≤ 8


Subtract 3 from both sides

p ≤ 5


So, p can be any number less than or including 5.

So the possible answers are p = 3, p = -7.5


Does that make sense?


Just as with 'normal' equations, we need to make sure that anything that we do to one side is also done to the other side - otherwise you'll get the wrong answer!!


thoughtful boy


Let's have a go.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Popular Maths topics

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents