Tamara has $\$ 30,000$, 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 $\$ 8,000$ 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?
\[
\begin{array}{l}
x+y \leq 30,000 \\
x \leq 8,000 \\
x \geq 3 y
\end{array}
\]
\[
\begin{array}{l}
x+y \leq 30,000 \\
x \geq 8,000 \\
x \geq 3 y
\end{array}
\]
\[
\begin{array}{l}
x+y \leq 30,000 \\
x \leq 8,000 \\
x \leq 3 y
\end{array}
\]
\[
\begin{array}{l}
x+y \leq 30,000 \\
x \geq 8,000 \\
x \leq 3 y
\end{array}
\]

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 \( \$30,000 \) to invest, so the sum of \( x \) and \( y \) cannot exceed \( \$30,000 \). This gives the inequality \( x + y \leq 30,000 \).

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

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 \( x \geq 3y \).

Step 5 ：The system of inequalities that describes Tamara's investment options is: \( \boxed{ \begin{array}{l} x+y \leq 30,000 \\ x \geq 8,000 \\ x \geq 3 y \end{array} } \)