Graph the System of Linear Inequalities $$\left\{ \begin{array} { l } x \geq 0 \\y \geq 0 \\x + y \leq 3 \\x + y \geq 2\end{array} \right.$$

Multiple Choice

Graph the system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points.
- $$\left\{ \begin{array} { l } x \geq 0 \\y \geq 0 \\x + y \leq 3 \\x + y \geq 2\end{array} \right.$$



A) unbounded;
corner points $(3,0) ,(0,3)$


B) $\text { no solution }$

C) unbounded;
corner points $( 0,0 ) , ( 0,2 ) , ( 2,0 )$



D) bounded;
corner points $( 3,0 ) , ( 0,3 ) , ( 0,2 ) , ( 2,0 )$