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This is quite similar to solving equations. Here is an example:

4x > x - 9

Subtract "x" on both sides:

3x > -9

Divide by 3:

x > -3

The main precaution is that if you multiply by a negative number, you MUST invert the inequality! Here is another example:

3x > 5x + 10

Subtract "5x" on both sides:

-2x > 10

Divide by (-2); note that the inequality MUST be turned around in this case:

x < -5

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Q: How do you solve inequalities with variables on both sides?
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