[tex]\begin{gathered} x+y\le6 \\ x+2y\le8 \end{gathered}[/tex]
The first step is to plot a graph of both inequalities on the same graph as shown above using any two points of your choice, usually (0,1) and (1,0).
The second step is to identify the boundary points of the two graphs (0,4), (4,2), and (6,0)
The third step is to unshade the required region. The required region the unshaded part of the graph
Therefore, the answer is D
