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# Solving Inequalities Part 2

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In this section, we continue to learn the basics of a linear inequality in one variable. This includes revisiting many of the basic properties of inequalities that we discussed in pre-algebra. We will learn how to solve a linear inequality in one variable using two key properties. The first property is known as the addition property of inequality. This property allows us to add/subtract any value to/from both sides of an inequality without changing the solution. The second property is known as the multiplication property of inequality. This property allows us to multiply/divide any positive value by both sides of an inequality without changing the solution. If we multiply/divide both sides by a negative, we must flip the direction of the inequality symbol. Additionally, we will cover how to solve a three-part inequality. Lastly, we will cover a new method to express our answer known as interval notation. This allows us to notate a solution that encompasses a range of values. We will also show how to display this type of solution using a number line.

Solving Inequalities Resources:

Videos:

Khan Academy - Video Khan Academy - Video Virtual Nerd - Video Text Lessons:

Math Planet - Text Lesson Purple Math - Text Lesson Chili Math - Text Lesson Worksheets:

ED Helper - Worksheet Math-Aids - Worksheet Khan Academy - Practice + Show More +