Derive a Set of Inequalities to Describe the Region $\left\{ \begin{array} { c } y \geq \frac { 5 } { 4 } x \\y \geq 0 \\x \leq 4\end{array} \right.$

Multiple Choice

Derive a set of inequalities to describe the region.
Triangle: vertices at (0, 0) , (4, 0) , (4, 5)

A) $\left\{ \begin{array} { c } y \geq \frac { 5 } { 4 } x \\y \geq 0 \\x \leq 4\end{array} \right.$
B) $\left\{ \begin{array} { c } y \leq \frac { 5 } { 4 } x \\x \geq 4\end{array} \right.$
C) $\left\{ \begin{array} { c } y \geq \frac { 4 } { 5 } x \\y \geq 0 \\x \leq 4\end{array} \right.$
D) $\left\{ \begin{array} { c } y \leq \frac { 5 } { 4 } x \\y \geq 0 \\x \leq 4\end{array} \right.$
E) $\left\{ \begin{array} { c } y \leq \frac { 5 } { 4 } x \\x \leq 4\end{array} \right.$