https://file.aiquickdraw.com/mathbot/file/1726245658170g8lmnisg.jpg

The image shows a number line with an interval shaded from -2 to 7. The endpoint at -2 has a filled-in dot, indicating that -2 is included in the solution set (using a "less than or equal to" symbol, ≤). The endpoint at 7 has an open circle, which means 7 is not included in the solution set (using a "less than" symbol, <).

The solution set represented by the graph is:
\[
-2 \leq x < 7
\]

In the input boxes shown in the image, you would enter:
- First box: **-2**
- Second box: **7**

Would you like more details on this solution or have any further questions?

Here are some related questions for you to explore:
1. What is the difference between open and closed intervals in inequalities?
2. How would the graph look if 7 were included in the solution?
3. How do you represent this interval using interval notation?
4. What are the rules for solving compound inequalities like this one?
5. How do inequalities change when multiplied or divided by a negative number?

**Tip:** Always pay close attention to whether the endpoints of an interval are included or excluded, as this changes the inequality symbols used.

What solution set does the graph represent?

Explore how to solve compound inequalities like -2 ≤ x < 7 and represent them on a number line. This lesson covers inequalities, the use of open and closed intervals, and graphing inequalities. Perfect for students in Grades 6-8.

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