Try this option:
1) to difine the equations of the lines given in the picture. They are: y= -0.5x+2 (for the left line, see the attached picture) and y=2x-3 (for the right line).
2) according to the condition (dark area and type of the line) the 1st inequation is y≥ -0.5x+2, the 2d inequation is y>2x-3.
3) the required system is
[tex]\left \{ {{y>2x-3} \atop {y\geq -0.5x+2}} \right.[/tex]
