The given linear inequalities are :
x ≥ 2 ...(i)
y ≤ 3 ...(ii)
First, we draw the graph of straight lines x = 2 and y = 3.
For x ≥ 2, we mark the region towards right of line x = 2.
For y ≤ 3, we mark the region below the line y = 3.
Now, we shade the common region.
Thus, the graphical solution is given below: