https://file.aiquickdraw.com/mathbot/file/1725645667554im98uz89.jpg

From the image, we have a number line with a solid dot at 12 and an open dot at 18, with an arrow pointing between them. This suggests the inequality representing values **between 12 and 18**. 

- The solid dot at 12 means **12 is included** in the solution set.
- The open dot at 18 means **18 is not included** in the solution set.

Thus, the inequality can be written as:
\[
12 \leq x < 18
\]

This means \(x\) is greater than or equal to 12 and less than 18.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the inequality change if the open dot at 18 became a closed dot?
2. Can you graph the inequality \(10 < x \leq 15\) on a number line?
3. What does an arrow at one end of a number line indicate for an inequality?
4. How can you express this inequality \(12 \leq x < 18\) using interval notation?
5. What would the solution look like if the number line had arrows extending indefinitely?

**Tip:** When graphing inequalities, remember that solid dots indicate inclusion, while open dots indicate exclusion of a boundary.

The graph shows a number line with a solid dot at 12 and an open dot at 18, representing values between 12 and 18. What is the inequality that corresponds to the number line?

Learn how to interpret and write the inequality corresponding to a number line with a solid dot at 12 and an open dot at 18, representing values between 12 and 18. Suitable for students in Grades 6-8.

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