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 60

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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Definitions:

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A water-soluble synthetic polymer, obtained through the polymerization of vinyl acetate followed by partial or complete hydrolysis.

Vinyl Alcohol

An organic compound with the formula CH2=CHOH, known as an enol form of acetaldehyde and used as an intermediate in organic synthesis.

Isotactic Polystyrene

A type of polystyrene where all the phenyl groups are arranged on the same side in a regular pattern along the polymer chain.