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Inequalities - Level 7

Practise solving two and three part inequalities in this self marking exercise.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Exam Menu Help

This is level 7. For each inequality can you find the range of values for x which makes the statement true.

7x - 11 < 4x + 1 < 2x + 17

Correct Wrong

7 < 4x - 1 < 5x - 6

Correct Wrong

7 < 2x + 1 < 6x - 31

Correct Wrong

10x + 26 < 5x + 1 < x - 3

Correct Wrong

x - 6 < 3x - 2 < 7

Correct Wrong

-x - 13 < x - 5 < 2x - 2

Correct Wrong

-2x - 12 < x - 3 < 6x - 8

Correct Wrong

7x - 13 < 2x + 2 < -2x + 30

Correct Wrong

6x + 12 < 2x - 4 < x - 4

Correct Wrong

-3x < x + 4 < 5

Correct Wrong

Check

This is Inequalities level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 8 Level 9

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

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?

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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 page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Carlos Dominic, 9.1

Tuesday, November 16, 2021

"I put my crocodile marks and then submitted but it got rid of all of them and they were all marked wrong. Please fix this.
Thank you.

[Transum: So sorry Carlos. The problem was caused by a security update. It has been corrected now. Sorry for the inconvenience.]"

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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.

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.

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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Example

3x - 7 < 5x + 1 < 2x - 2

An inequality like this can be solved by splitting it into two parts:

3x - 7 < 5x + 1
-8 < 2x
x > -4
5x + 1 < 2x - 2
3x < -3
x < -1

So the complete answer is:

-4 < x < -1

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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.

Log in Sign up

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