The inequality given is:

\[
\frac{n}{-3} \geq 16
\]

To solve this, we need to isolate \( n \). Here's the step-by-step process:

1. Multiply both sides of the inequality by \(-3\), and remember that when multiplying or dividing an inequality by a negative number, the inequality sign reverses.

\[
n \leq 16 \times (-3)
\]

2. Simplify:

\[
n \leq -48
\]

Thus, the solution is:

\[
n \leq -48
\]

### Do you need more details or have any questions?

Here are five related questions:

1. What happens if the inequality were \( \frac{n}{3} \geq 16 \)?
2. How does multiplying by negative numbers affect inequalities in general?
3. What would be the solution to \( \frac{n}{-4} \geq 20 \)?
4. Can you explain how to graph \( n \leq -48 \) on a number line?
5. How would you solve if the inequality were \( \frac{n}{-3} < 16 \)?

**Tip:** When solving inequalities, always be careful with the sign changes, especially when multiplying or dividing by negative numbers!

Learn how to solve the inequality n/-3 ≥ 16 with a detailed step-by-step solution. This guide covers key algebraic concepts, such as the effect of multiplying inequalities by negative numbers and manipulating expressions. Suitable for students in Grades 7-9.

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