Linear Inequalities in one Variable Lesson

Sections:

About:

Additional Resources:

In this section, we learn how to solve a linear inequality in one variable. For this type of problem, we utilize two properties. The first is known as
the addition property of inequality. The addition property of inequality allows us to add/subtract any value to/from both sides of an inequality,
without changing the solution set. The second property we utilize is known as the multiplication property of inequality. This property is a slight
variation of the multiplication property of equality. The multiplication property of inequality tells us we can multiply or divide both sides
of an inequality by a positive value, and not change the solution set. If we multiply or divide by a negative value, we must change the direction
of the inequality symbol. A less than becomes a greater than and vice versa. Once we have mastered these two properties, we will move into a
general four step procedure. This procedure is a slight variation of what we saw to solve linear equations in one variable. Last on our agenda,
we will discuss how to check a solution for a linear inequality in one variable. This process is much more tedious than for a linear equation
in one variable.

Linear Inequalities in one Variable Resources:

Videos:

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

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

Kuta - Worksheet
Khan Academy - Practice
Khan Academy - Practice
+ Show More +