For the given inequality $ x \geq 3$ ---------(1)
Consider the equation $x=3$
The graph of the line is shown in the diagram below.
Similarly for the given inequality $ y \geq 2$---------(2)
Consider the equation $y=2$
The graph of this is shown in the diagram below.
For the inequality (1) the line divides the xy plane into two half plane and the region on the right hand side of the line $x=3$ (including the line) is the solution region.
For the inequality (2) the line $y=2$ divides the XY plane into two half plane and the region above the line $y=2$ (including the line y=2) represents the solution region.
Hence the solution of the given system of linear inequalities is represented by the common shaded region, including the points on the lines.