Step 1:

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.

Step 2:

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.

Step 3:

Hence the solution of the given system of linear inequalities is represented by the common shaded region, including the points on the lines.