Derive a Set of Inequalities to Describe the Region $\left\{ \begin{array} { l } y \leq \frac { 5 } { 3 } x \\y \geq 0 \\x \leq 3\end{array} \right.$

question 52

Multiple Choice

Derive a set of inequalities to describe the region. Triangle: vertices at (0, 0) , (3, 0) , (3, 5)

• A) \(\left\{ \begin{array} { l }
• y \leq \frac { 5 } { 3 } x \\
• y \geq 0 \\
• x \leq 3
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { l }
• y \leq \frac { 5 } { 3 } x \\
• x \leq 3
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { l }
• y \geq \frac { 5 } { 3 } x \\
• y \geq 0 \\
• x \leq 3
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { l }
• y \leq \frac { 5 } { 3 } x \\
• x \geq 0
• \end{array} \right.\)
• E) \(\left\{ \begin{array} { l }
• y \leq \frac { 3 } { 5 } x \\
• y \geq 0 \\
• x \leq 3
• \end{array} \right.\)

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