Solve the following inequality graphically in two-dimensional plane:
Q2.
Graphical representation of is given in the graph below.
The line divides plot in 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
We observe
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 satisfy the inequality.
Thus, the solution to this inequality is the half plane I, above the line including points on this line , represented by green colour.
This can be represented as follows: