This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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4 stepsLet be the number of units of sensors and be the number of units of switches.
Based on the weekly production goals:
"She planned to produce at least 3 units of sensors"
"She did not want to produce more than 8 units of switches"
"She wanted to produce less than 12 units in total of both sensors and switches combined"
"She also aimed to produce more than three-quarters the number of sensors as switches"
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*}
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Let S be the number of units of sensors and W be the number of units of switches.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.