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

question 37

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

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