Tamara has $\mathrm{\$}30,000$, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $\mathrm{\$}8,000$ into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds.

Let $\mathrm{x}$ be the amount invested in corporate bonds, and let $\mathrm{y}$ be the amount invested in municipal bonds.

Which system of inequalities describes Tamara's investment options?
$$\begin{array}{l}x+y\le 30,000\\ x\le 8,000\\ x\ge 3y\end{array}$$
$$\begin{array}{l}x+y\le 30,000\\ x\ge 8,000\\ x\ge 3y\end{array}$$
$$\begin{array}{l}x+y\le 30,000\\ x\le 8,000\\ x\le 3y\end{array}$$
$$\begin{array}{l}x+y\le 30,000\\ x\ge 8,000\\ x\le 3y\end{array}$$

Step 1 ：Let $x$ be the amount invested in corporate bonds, and let $y$ be the amount invested in municipal bonds.

Step 2 ：Tamara has a total of $\mathrm{\$}30,000$ to invest, so the sum of $x$ and $y$ cannot exceed $\mathrm{\$}30,000$. This gives the inequality $x+y\le 30,000$.

Step 3 ：Tamara wants to invest no less than $\mathrm{\$}8,000$ into corporate bonds, so $x$ must be greater than or equal to $\mathrm{\$}8,000$. This gives the inequality $x\ge 8,000$.

Step 4 ：Tamara wants to invest at least three times as much into corporate bonds than into municipal bonds, so $x$ must be at least three times $y$. This gives the inequality $x\ge 3y$.

Step 5 ：The system of inequalities that describes Tamara's investment options is: $\boxed{{\displaystyle \begin{array}{l}x+y\le 30,000\\ x\ge 8,000\\ x\ge 3y\end{array}}}$