You Plan to Invest Up to $60,000 in Two Different $\left\{ \begin{aligned}x + y & \leq 60,000 \\x & \geq 8000 \\y & \geq 8000 \\x - 3 y & \leq 0\end{aligned} \right.$

Multiple Choice

You plan to invest up to $60,000 in two different interest-bearing accounts. Each account is to contain at least $8000. Moreover, one account should have at least three times the amount that is in the other account. Find a system of inequalities that describes the amount that you can invest in each account.

A) $\left\{ \begin{aligned}x + y & \leq 60,000 \\x & \geq 8000 \\y & \geq 8000 \\x - 3 y & \leq 0\end{aligned} \right.$
B) $\left\{ \begin{aligned}x + y & \geq 60,000 \\x & \geq 8000 \\y & \geq 8000 \\x - 3 y & \leq 0\end{aligned} \right.$
C) $\left\{ \begin{aligned}x + y & \geq 60,000 \\x & \leq 8000 \\y & \leq 8000 \\x - 3 y & \geq 0\end{aligned} \right.$
D) $\left\{ \begin{aligned}x + y & \leq 60,000 \\x & \geq 8000 \\y & \geq 8000 \\x - 3 y & \geq 0\end{aligned} \right.$
E) $\left\{ \begin{aligned}x + y & \geq 60,000 \\x & \geq 8000 \\y & \geq 8000 \\x - 3 y & \geq 0\end{aligned} \right.$