Inequalities  Level 5Show how inequalities can be represented with number line diagrams and graphs. 
This is Level 5. Match the statements with the corresponding diagrams. A solid circle indicates inclusion.
x ≤ 2
2 ≤ x < 2
x < 2, x > 2
x < 2
x ≤ 2, x > 2
x > 2
x ≤ 2
x < 2
x ≥ 2
x ≥ 2
x > 2
2 < x ≤ 2
This is Inequalities level 5. You can also
try:
Level 1
Level 2
Level 3
Level 4
Level 6
Level 7
Level 8
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 3 < x â‰¤ 4
Notice that 3 is not included but 4 is
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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." 
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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."
Transum,
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]. "