Q12 of 27 Page 261

Solve the given inequalities 2x – y > 1, x – 2y < 1 graphically in two – dimensional plane.

The graphical representation of is given by common region in the figure below.


.…… (1)


……. (2)


Inequality (1) represents the region below line (excluding the line ).


Inequality (2) represents the region above line (excluding the line ).


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,



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