The graphical representation of 2x – y > 1, x – 2y < 1 is given by common region in the figure below.
2x – y > 1 ....... (1)
x – 2y < 1 ......... (2)
Inequality (1) represents the region below line 2x - y = 1 (excluding the line 2x - y = 1 ).
Inequality (2) represents the region above line x – 2y = 1 (excluding the line x – 2y = 1).
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,