Solve the following inequality graphically in two-dimensional plane:
Q8.
Graphical representation of is given in graph below.
The line divides plot in two half planes.
Select a point (not on the line ) which lie in one of the half plane , to detemine whether the point satisfies the inequality.
Let there be a point
We observe
i.e. , which is true.
Therefore, half plane II is not solution region of given inequality i.e. .
Also point on the line does not satisfy the inequality.
Thus, solution to this inequality is half plane I excluding points on this line, represented by green colour.
This can be represented as follows: