Solve the given inequalities x ≥ 2y, y ≥ 3 graphically in two – dimensional plane.
The graphical representation of x ≥ 2y, y ≥ 3 is given by common region in the figure below.
.…… (1)
……. (2)
Inequality (1) represents the region below line x=2y(including the line x=2y).
Inequality (2) represents the region above line y=3(including the line y=3).
Therefore, every point in the common shaded region including the points on the respective lines represents the solution for the given inequalities.
This can be represented as follows,