# Linear Inequalities in Two Variables

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

The points which satisfy the linear inequality in two variable ‘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.

Solution set of inequality lies origin side.