Inequalities  Level 7Practise solving two and three part inequalities in this self marking exercise. 
This is level 7. For each inequality can you find the range of values for x which makes the statement true.
InstructionsTry 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. 



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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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/Alevel exam paper questions and worked solutions are available for Transum subscribers.
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 doubleclick 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.
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