Friends today we all are going to learn the basic concept behind linear Inequalities and how to solve Inequalities. Firstly we need to understand is what does an Inequalities means in Maths ? An inequality tells that two values are not equal. For example a ≠ b shows that a is not equal to b. 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. The slope through the points (x1, y1) and (x2, y2) is given as slope formula.

( m = y2-y1/x2-x1 ) where x1 is not equal to x2.

In general slope intercept form denotes the formula : y = mx + b.

Where m = slope of the line

b = y intercept.

The slope of a line in the plane is defined as the change in the y coordinates divided by change in x coordinates, between two distinct point on a line. Math solver needs to understand the general form of slope which is called as slope intercept form.

A linear inequality is described as an area of the coordinate plane that has a boundary line. In simple way in linear inequalities everything on one side of a line on a graph.

In mathematics, a linear inequality is an inequality which involves a linear function. For solving inequalities we need to learn the symbols of inequalities like the symbol < means less than and the symbol > means greater than and the symbol ≦ or ≤ less than or equal to etc. Now the next stage to solve a problem is to write the inequalities in a slope intercept form or in the form of y = mx + b.

secondly: temporarily exchange the inequality symbol for the equal symbol. For example

y

Thirdly : Use different values for x to find points that will be graphed in the form (x,y).

like when x=3, y = 4 and when y = 3 x = 4.

At last we need to draw lines on the graph using these above values. Point slope refers to a method of graphing a linear equation on an x-y axis. Addition principle for solving problems of Inequalities is - If a > b then a + c > b + c .

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This article was published on 2011/09/26

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## How to graph linear inequalities