Inequalities with Multiplication and Division
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Key Questions

There are only a few rules:
You may add or subtract the same from both sides
You may multiply or divide by the same on both sides, BUT:
If you multiply/divide by a negative number the sign changes direction
#> > <# and vice versa.Simple example (mutiplied by
#1# )
#x<2>x>2# 
When you multiply or divide by a negative number the order of the quantities is reversed. You can verify this by considering a simple example. We know that
#1<2# , but when you multiply both numbers by#1# , then the direction of the inequality is reversed#1 > 2# .
I hope that this was convincing enough.

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Questions
Linear Inequalities and Absolute Value

1Inequality Expressions

2Inequalities with Addition and Subtraction

3Inequalities with Multiplication and Division

4MultiStep Inequalities

5Compound Inequalities

6Applications with Inequalities

7Absolute Value

8Absolute Value Equations

9Graphs of Absolute Value Equations

10Absolute Value Inequalities

11Linear Inequalities in Two Variables

12Theoretical and Experimental Probability