Formulate a system of inequalities based on Lanyero's production goals.

Let $S$ be the number of units of sensors and $W$ be the number of units of switches.

Based on the weekly production goals:

1. "She planned to produce at least 3 units of sensors"

   $$S \ge 3$$

2. "She did not want to produce more than 8 units of switches"

   $$W \le 8$$

3. "She wanted to produce less than 12 units in total of both sensors and switches combined"

   $$S + W < 12$$

4. "She also aimed to produce more than three-quarters the number of sensors as switches"

   $$W > \frac{3}{4}S$$

The system of inequalities representing Lanyero's production goals is:

$$\begin{align*} S &\ge 3 \\ W &\le 8 \\ S + W &< 12 \\ W &> \frac{3}{4}S \end{align*}$$