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We are given the inequality:

\[
-2 \geq \frac{h}{61}
\]

We need to solve this inequality to find which value of \( h \) from the options satisfies it.

### Steps to solve:

1. **Multiply both sides of the inequality by 61** to eliminate the denominator. Since 61 is positive, the inequality direction remains unchanged:

\[
-2 \times 61 \geq \frac{h}{61} \times 61
\]

This simplifies to:

\[
-122 \geq h
\]

or equivalently:

\[
h \leq -122
\]

Now, we check which of the given values of \( h \) satisfies \( h \leq -122 \):

- \( h = -122 \) is a solution because it satisfies \( h \leq -122 \).
- The other options (122, 61, and -61) do not satisfy this inequality.

### Final answer: 
The solution is **\( h = -122 \)**.

Would you like a detailed breakdown or have any further questions? Here are five related questions you might explore:

1. What happens to the inequality if we multiply both sides by a negative number?
2. How do we handle inequalities with fractions?
3. What is the difference between solving inequalities and equations?
4. Can you graph the solution of the inequality \( h \leq -122 \)?
5. How would the inequality change if we reversed the sign?

**Tip:** Always remember to reverse the inequality when multiplying or dividing by a negative number!

Which of the following is a solution to the inequality -2 ≥ h/61?

Learn how to solve the inequality -2 ≥ h/61 with a detailed, step-by-step explanation. This problem covers key algebraic concepts, including handling inequalities and fractions. Suitable for students in Grades 6-8.

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