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Solving Single-Step Inequalities by Division

The rules for solving inequalities are similar to those for solving linear equations. However, there is one exception, when multiplying or dividing by a negative number it is necessary to reverse the inequality sign.

 

 

Example:

Solve 3x > 15

Solution:

 

Example:

Solve –4x < 12

Solution:

 

 

The following video shows how to solve single-step inequalities by division.

 

 

 

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