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,