The question is asking you to model an inequality that represents how many hours you need to work to earn $187 at a rate of $8.50 per hour.

Let's break it down:

• You earn $8.50 per hour.
• You need to earn $187.

To find the number of hours, let $h$ represent the number of hours you need to work. The total earnings from working $h$ hours is $8.50h$. The inequality can be written as:

$8.50h \geq 187$

Now, solve for $h$:

$h \geq \frac{187}{8.50}$

After solving:

$h \geq 22$

Thus, you need to work at least 22 hours to earn $187.

Would you like more details on how to solve inequalities or have further questions on this topic?

Here are 5 related questions:

1. How do you solve inequalities with fractions?
2. What are the differences between strict and non-strict inequalities?
3. How can you interpret inequalities graphically?
4. What happens if you increase your hourly wage in this scenario?
5. How do you solve systems of inequalities?

Tip: When solving inequalities, always remember to flip the inequality symbol when multiplying or dividing by a negative number.