The graphical representation of x + y ≤ 9, y < x, x ≥ 0 is given by common region in the figure below.
x + y ≤ 9 ...... (1)
y < x ....... (2)
x ≥ 0 ....... (3)
Inequality (1) represents the region below line x + y ≤ 9 (including the line x + y ≤ 9).
Inequality (2) represents the region below line x = y (excluding the line x = y).
Inequality (3) represents the region in front of line x = 0 (including the line x = 0).
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,