In Problems 43-52, graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points.
$\left\{\begin{aligned} x & \geq 0 \\ y & \geq 0 \\ x+2 y & \geq 1 \\ x+2 y & \leq 10 \\ x+y & \geq 2 \\ x+y & \leq 8\end{aligned}\right.$