​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) ​ $$\left\{ \begin{array} { c } y \leq \frac { 5 } { 4 } x \\x \leq 4\end{array} \right.$$