we have the inequality
[tex]\begin{gathered} x+2y\ge4 \\ 2y\ge-x+4 \\ y\ge-\frac{x}{2}+2 \end{gathered}[/tex]
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
