We draw the dotted line to represent the graph of 2x - y = 1
x          0            1/2
y         -1             0
Now, we consider a point O(0, 0), i.e., origin.
Substitue it in inequality 2x - y > 1, we get 2 (0) - 0 > 1 or 0 > 1 which is not true.
Therefore, we mark tht region, which does not contain origin.
We draw the dotted line to represent the graph of line x - 2y = -1
x          0         -1
y         1/2        0

Now, we consider a point O(0, 0) i.e., origin.
Substitute it in inequality x - 2y < - 1,
i.e., 0 - 2(0) < -1 or 0 < -1 which is not true.
∴ we mark that region which does not contain origin.
Now, we shade the common region. Thus, the solution is given by the shaded region of the graph given below;