Solve the following inequality graphically in two-dimensional plane:
Graphical representation of is given in the graph below.
The line divides plot into two half-planes.
Select a point (not on the line ) which lie in one of the half-planes, to determine whether the point satisfies the inequality.
Let there be a point
i.e. , which is true.
Therefore, half plane II is not a solution region of given inequality i.e. .
Also, the point on the line does not satisfy the inequality.
Thus, the solution to this inequality is the half plane I excluding points on this line.
This can be represented as follows:
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