Write a System of Linear Inequalities That Has the Given $\left\{\begin{array}{r}y \geq 0 \\x \geq 0 \\x \leq 4 \\y+x \leq 8\end{array}\right.$

Multiple Choice

Write a system of linear inequalities that has the given graph.
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A)
$\left\{\begin{array}{r}y \geq 0 \\x \geq 0 \\x \leq 4 \\y+x \leq 8\end{array}\right.$

B)
$\left\{\begin{array}{r}y \geq 0 \\x \geq 0 \\x \leq 4 \\y+x \geq 8\end{array}\right.$

C)
$\left\{\begin{array}{r}y \geq 0 \\x \geq 0 \\x \leq 8 \\y+x \leq 4\end{array}\right.$

D)
$\left\{\begin{array}{l}x \leq 4 \\y+x \leq 8\end{array}\right.$