The Graph of the Boundary Equations for the System of Inequalities

Multiple Choice

The graph of the boundary equations for the system of inequalities is shown with the system. Find the corners of the
solution region.
- $$\left\{ \begin{array} { l } x + y \leq 6 \\3 x + y \leq 12\end{array} \right.$$

A) (0, 0) , (6, 0) , (0, 12) , (3, 3)
B) (0, 0) , (4, 0) , (0, 6) , (3, 3)
C) (0, 0) , (6, 0) , (0, 6) , (3, 3)
D) (0, 0) , (4, 0) , (0, 12) , (3, 3)