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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.
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y < x, y > x-2
y < 2x
y ≥ x, y ≥ -x
y ≥ x, y < -x
y ≤ -x
y > -x
y ≤ 2x
y ≥ x, y < 1-x
y ≥ x
y < -x
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
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/A-level 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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Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions.
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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 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it! Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait: "I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun." |
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Featured ActivityLemon Law A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works? |
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 |
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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. | ||
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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. |
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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]. "