Solve the following inequality graphically in two-dimensional plane:
Q1.
Graphical representation of is given in the graph below.
The line divides plot in two half planes.
Select a point (not on 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 (above the line) 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 half plane below the line excluding points on this line represented by the green part.
This can be represented as follows: