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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Definitions:

Organisation Functions

The primary activities and responsibilities that are crucial for the successful operation of a business or organization.

Goal Congruence

The alignment of individual objectives with the overall objectives of the organization to ensure that all members are working towards the same targets.

Decentralised Organisation

An organizational structure where decision-making power is distributed throughout various levels and departments rather than being centralized at the top.

Management Change

The process, initiative, or event that involves a significant shift in a company's management structure or strategy.