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) $\left\{ \begin{array} { l }
y \leq \frac { 3 } { 5 } x \
y \geq 0 \
x \leq 3
\end{array} \right.$

Question

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) $\left\{ \begin{array} { l } 
y \leq \frac { 3 } { 5 } x \
y \geq 0 \
x \leq 3
\end{array} \right.$

Quizplus · Accepted Answer

The triangle's vertices suggest that the slope of the hypotenuse is $5/3$, which means any point within the triangle must have a $y$ value less than or equal to $5/3$ times its $x$ value ($y \leq \frac{5}{3}x$). The triangle is above the $x$-axis ($y \geq 0$) and to the left of the line $x = 3$ ($x \leq 3$).

Derive a Set of Inequalities to Describe the Region {y≤53xy≥0x≤3\left\{ \begin{array} { l } y \leq \frac { 5 } { 3 } x \\y \geq 0 \\x \leq 3\end{array} \right.⎩⎨⎧​y≤35​xy≥0x≤3​

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