# Linear Inequalities

Document Sample

```					                           Algebra Solver
Algebra Solver

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.

Tutorcircle.com                                              Page No. : ­ 1/4
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 <= -x + 7 becomes y = -x + 7 after exchanging the symbol.

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

Tutorcircle.com                                              Page No. : ­ 2/4
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 .

Consider an equation x + 5 < 0. On taking 5 to right hand side of less than
symbol, we get x < -5. On drawing graph of this inequality region below -5 will be
shaded as solution of this inequality.

On representing linear inequality on number line, there are two types of intervals
that are open interval and closed interval. In an open interval the end points or
coordinates are not involved in interval while in a closed interval end points are
considered in interval and considered to be a part of it. These points are
represented by closed points or filled circles on number line.

Tutorcircle.com                                            Page No. : ­ 3/4
Page No. : ­ 2/3
Thank You For Watching

Presentation

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 0 posted: 9/4/2012 language: pages: 4