Inequalities - Level 7
Practise 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.
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.
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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?
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"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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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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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.
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.