\begin{tabular}{l} Which value is a solution of the inequality \( \frac{1}{4} y \geq 8 \) ? \\ \hline 8 \\ \hline 16 \\ \hline\end{tabular}

To solve the inequality \( \frac{1}{4} y \geq 8 \), you can start by multiplying both sides by 4 to eliminate the fraction: \( y \geq 32 \). This means any value of \( y \) that is 32 or greater will satisfy the inequality. Given the options, 16 is not a solution, but 32 and any number higher than that would be. Now, let’s make sure you avoid common pitfalls! A frequent mistake when dealing with inequalities is mishandling the multiplication or division of negative numbers. You must reverse the inequality sign if you multiply or divide by a negative value, which isn’t applicable here, but always keep it in mind for future problems! If you want to dive deeper into inequalities, consider exploring graphing methods. You can visually represent inequalities on a number line, easily showcasing solutions and making it easier to understand the relationships between values! The visual aid really brings the concepts to life!