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

question 176

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) \(\left\{ \begin{array} { c } x ^ { 2 } + y ^ { 2 } \geq 9 \\ x ^ { 2 } + y ^ { 2 } \leq 16 \\ x \geq 0 \\ y \geq 0 \end{array} \right.\)

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