# Inequalities - Level 7

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

##### Level 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8Level 9ExamMenuHelp

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

 2 < 2x - 2 < -3x + 13 -23 < 4x - 3 < 5x - 2 9x + 1 < 5x + 1 < 3x + 9 2x < 5x < x + 16 -3x - 5 < x - 1 < -4x - 1 -x + 8 < 2x + 2 < 7x - 23 -9 < 3x < 7x + 8 -4x + 3 < x + 3 < -2x + 6 2x + 4 < 5x - 5 < 8x - 26 3x - 11 < 5x - 5 < 4x - 4
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

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## Description of Levels

Close

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.

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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 < 2xx > -4 5x + 1 < 2x - 2 3x < -3x < -1