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 ≥ x, y ≥ 0
y ≥ x, y < 2
y ≤ x
y < 2x
y ≥ x, y < x
y > x
y < x
y ≤ 2x
y ≥ x, y ≥ x
y ≥ x
y ≥ x, y < 1x
y < x, y > x2
This is Inequalities level 8. You can also
try:
Level 1
Level 2
Level 3
Level 4
Level 5
Level 6
Level 7
Level 9
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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.
Level 9  Quadratic Inequalities
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.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. 
Donny Williamson, Carshalton
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]. "