Graphing Linear Inequality

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Today we all are going to learn about the basic concept behind Inequality. An inequality tells that two values are not equal. For example a ≠ b shows that a is not equal to b. A linear inequality describes an area of the coordinate plane that has a boundary line. In simple way in linear inequality graphs everything is on one side of a line on a graph.

In mathematics a linear inequality is an inequality which involves a linear function. To solve Inequalities we must remember the symbols showing inequalities like the symbol < means less than and the symbol > means greater than and the symbol ≦ or ≤ less than or equal to etc.

Slope formula plays an important role in graphing linear inequalities. So we need to know what slope formula means. Slope of a line describes the steepness, incline or grade of the straight line. Let's take an example to understand the linear inequalities:

Example: -8 < 2x - 4 < 16

add 4 to all 3 parts

-4 < 2x < 20

divide 2 from all 3 parts

-2 < x < 10

To graph the following equation, you put an open circle or we can say mark it by a dot on the point

(-2,0) and then you put an open circle on the point (10,0).Then draw a line between the two.