Derive a Set of Inequalities to Describe the Region $$\left\{ \begin{array} { c } x ^ { 2 } + y ^ { 2 } \leq 9 \\x ^ { 2 } + y ^ { 2 } \geq 16 \\x \geq 0 \\y \geq 0\end{array} \right.$$

Multiple Choice

Derive a set of inequalities to describe the region.​

A) ​ $$\left\{ \begin{array} { c } x ^ { 2 } + y ^ { 2 } \leq 9 \\x ^ { 2 } + y ^ { 2 } \geq 16 \\x \geq 0 \\y \geq 0\end{array} \right.$$
B) ​ $$\left\{ \begin{array} { c } x ^ { 2 } + y ^ { 2 } \geq 3 \\x ^ { 2 } + y ^ { 2 } \leq 4 \\x \geq 0 \\y \geq 0\end{array} \right.$$
C) ​ $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } \geq 3 \\x ^ { 2 } + y ^ { 2 } \leq 4\end{array} \right.$$
D) ​ $$\left\{ \begin{array} { c } x ^ { 2 } + y ^ { 2 } \geq 9 \\x ^ { 2 } + y ^ { 2 } \leq 16\end{array} \right.$$
E) $$\left\{ \begin{array} { c } x ^ { 2 } + y ^ { 2 } \geq 9 \\x ^ { 2 } + y ^ { 2 } \leq 16 \\x \geq 0 \\y \geq 0\end{array} \right.$$