Inequalities  Level 8Show how inequalities can be represented with number line diagrams and graphs. 
This is Level 8. Match the statements with the corresponding diagrams. The statement refers to the unshaded region and a solid line indicates inclusion.
y ≤ 2x
y > x
y ≥ x, y < x
y < x, y > x2
y ≤ x
y ≥ x, y ≥ x
y ≥ x
y < x
y ≥ x, y < 1x
y < 2x
y ≥ x, y < 2
y ≥ x, y ≥ 0
This is Inequalities level 8. You can also try:
Level 1
Level 2
Level 3
Level 4
Level 5
Level 6
Level 7
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Level 1  Comparing positive integers
Level 2  Comparing positive and negative decimal numbers
Level 3  Comparing positive and negative fractions
Level 4  Comparing metric measures
Level 5  Matching statements to number line diagrams.
Level 6  Solving linear inequalities.
Level 7  Solving linear two part inequalities.
Level 8  Matching statements to graphs.
Exam Style questions are in the style of GCSE or IB/Alevel exam paper questions and worked solutions are available for Transum subscribers.
More on this topic including lesson Starters, visual aids and investigations.
The following diagram represents y ≥ x and y < 2
Notice that the points on the line y = x are included but the points on the line y = 2 are not.
The most important thing is to talk to your teacher if there is anything you don't understand about this topic.
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk: "Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!" Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, : "I think these are great! So useful and handy, the children love them. 


Numeracy"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables." Secondary National Strategy, Mathematics at key stage 3 

Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school. TeachersIf you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows: 

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Tuesday, June 16, 2015
"Hi, great site! I feel this has been very helpful towards my A* in maths, thanks a lot, I for sure owe you one."
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Saturday, September 2, 2017
"If your crayons need sharpening or your colouring skills are not up to scratch use the online Graph Plotter to show the inequalities quickly and accurately. [Type <= for the 'less than or equal to' symbol]. "