# Grasp concepts of Linear Inequalities

Hey! Friends, today we are going to discuss about linear inequalities problems and their **graphing** procedure. Students can learn with the help of an online math tutoring website “Tutorvista” which covers all the topics of **linear inequalities**. Linear inequality is a form of representing linear equation with some certain boundary or we can say when the area of any straight line is restricted by some numerical value in the graph than this condition is said to be of **linear inequality**. **Linear inequality** is represent by using inequality symbols such as greater than, less than in the linear equations rather than equal to sign. The solution process of any linear inequality query is almost as same as linear equations but, one point which has to be remember while solving questions related to linear inequalities is that while multiplying linear equations with ‘–ive’ sign we have to flip the inequality symbol with its opposite sign as:

-( y + 2 < 2) = ( -y – 2 > -2)

**Graphing** of a linear inequality problems gives its pictorial representation which gives result as straight line on the plane surface. The area of this line should be restricted or limited in a fixed region which is according to the value of right side of the inequality equation. The basic terms used for graphing several equations are: x intercept, y intercept and slope. While using slope formula if we have endpoints of the line as (x1, y1) and (x2, y2) then use of this formula includes a condition that is x1 ≠ x2so that we get finite answer.

Slope of the line M = (change in Y points) / (change in X points)

= ( y2 – y1 ) / ( x2 – x1).

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