# Linear Inequalities in Two Variables

The inequalities of the form , , , where , , c are constants, are called the *linear inequalities in two variables*.

The points which satisfy the linear inequality in two variables, ‘x’ and ‘y’ from its solution.

__Graphing the Solution Region of Linear Inequality in Two Variables__

__Example:__

Graph the solution set of the linear inequality in xy–plane.

__Solution:__

We have

The corresponding equation of inequality A

__For x–intercept__**:**

Put in equation (i)

__For y–intercept__**:**

Put in equation (i)

__Test__**:**

Put origin in equation (A)

Which is true.

The solution set of inequality lies on the origin side.