The graphical representation of is given by common region in the figure below.
x + y ≤ 6 ...... (1)
x + y ≥ 4 ...... (2)
Inequality (1) represents the region below line (including the line ).
Inequality (2) represents the region above line (including the line x + y =4).
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,