The equations of bounded lines of graph are 2y = 5x, x = 6 and y = 1/2x.
It can be observed that the point (0,0) lies in region. So one inequality is,
[tex]x<6[/tex]The point (0,1) does not lies in the region. So point (0,1) does not lie in region if second inequality,
[tex]2y\le5x[/tex]The point (6,0) does not lie in the rigion. So third inequality is,
[tex]y>\frac{1}{2}x[/tex]So possible three inequalities are,
[tex]\begin{gathered} x<6 \\ 2y\le5x \\ y>\frac{1}{2}x \end{gathered}[/tex]