we have the inequality
![\begin{gathered} x+2y\ge4 \\ 2y\ge-x+4 \\ y\ge-(x)/(2)+2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/nn90uptgffqu5qmb8fwh1wubxhjqilz9go.png)
the solution of this inequality is the shaded area above the solid line y=-0.5x+2
therefore
the answer is the upper part shaded
see the attached image to better understand the question
pleae wait a minute
the graph show in the question is incorrect