# Inequalities - Level 8

## Show how inequalities can be represented with number line diagrams and graphs.

##### Level 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8Exam-StyleDescriptionHelpMore Algebra

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 < 2x

y ≥ x, y ≥ 0

y < x, y > x-2

y ≥ x, y < -x

y ≤ -x

y > -x

y ≥ x, y < 2

y ≥ x, y ≥ -x

y ≥ x

y ≥ x, y < 1-x

This is Inequalities level 8. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7

## Description of Levels

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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/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

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## Example

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.

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## Transum.org

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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?

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## Go Maths

Learning 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.

## Teachers

If 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:

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]. "

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