Friday, 4 November 2011

Graphing makes Linear Inequality easy

Friends, today we all are going to learn the basic concept behind linear inequality in mathematics and the graphing concepts used in an inequality graph. Before proceeding further let’s talk about inequality. Inequality basically tells that two values or expressions are not equal. For example, to understand it betterment 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.
A linear inequality describes an area of the coordinate plane that has a boundary line. In simple way, in linear inequalities everything is 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 ≤ less than or equal to etc.

Lets see an example to show a linear inequality graph. -4 < x - 2 < 8

Add 2 to all 3 parts in an equation

-4 < 2x < 10

Divide 2 from all 3 parts

-2 < x < 5

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 (5,0).Then draw a line between the two.

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