Values of & , which make inequalities true statements.
In two variables the graph of the solution is drawn on a Cartesian Plane. A line divides the Cartesian Plane into two parts. Each part is known as half plane.
A vertical line will divide the plane into a left and right half-plane and a non-vertical line will divide the plane into lower and upper half-planes.
Let us consider the line
There are possibilities namely:
Often we use mostly or
(i) the region containing all the solutions of an inequality is called the Solution Region.
(ii) To check the points shaded region of inequality, we have to satisfy the inequation with the origin .
(iii) If an inequality is of the type or , then the points on the line are also included in the solution region.
(iv) If an inequality is of the form or , then the points on the line are not to be included in the solution region.