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Solving and Graphing Multistep Inequalities - Concept

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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 inequalities with multiple steps is almost exactly like solving equations with multiple steps with a couple of exceptions. So when you start doing these problems there's a couple of things to keep in mind.
First thing, when you're graphing on the number line be really careful when you're using a closed circle versus an open circle. Closed circle is for greater than or equal to, less than or equal to. These are just for greater than or less than, it's kind of tricky. Then anytime you're solving, involves multiplying or dividing by a negative value you're going to have to change the direction of the inequality.
And then the last thing is to remember your solving techniques. Think back to what you know how to do with just regular equations. You're going to use the same processes like getting all your variables together, getting all your constants together. Doing the same thing that both expressions. Stuff like that is really important, if you can keep this all in mind you guys will really be successful when you're solving and graphing multistep inequalities.

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