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Compound Inequalities

A series of free Basic Algebra Lessons from Brightstorm online Algebra series.

Solving and Graphing Multistep Inequalities
Sometimes we get more complex inequalities that take more than one step to solve. Solving multi step inequalities involves both solving inequalities using addition and solving inequalities using multiplication. Many of the techniques are similar to those learned when solving multi-step equations. Solving multi-step inequalities is done in many solving compound inequalities.

Solving and Graphing Compound Inequalities
In mathematics, it can be useful limit the solution or even have multiple solutions for an inequality. For this we use compound inequalities, inequalities with multiple inequality signs. When solving compound inequalities, we use some of the same methods used in solving multi-step inequalities. The solutions to compound inequalities can be graphed on a number line, and can be expressed as intervals.

Graphing Inequalities with Two Variables
Just like equations, sometimes we have two variables in an inequality. Graphing inequalities with two variables involves shading a region above or below the line to indicate all the possible solutions to the inequality. When graphing inequalities with two variables, we use some of the same techniques used when graphing lines to find the border of our shaded region.

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