https://file.aiquickdraw.com/mathbot/file/1726929433616e5bn8jif.jpg

The image shows a number line with a shaded region between -6 (solid dot) and 6 (open dot). Based on this, we can write a **compound inequality** for the graph as follows:

\[
-6 \leq x < 6
\]

### Explanation:
- The **solid dot** at -6 indicates that -6 is included, so we use the "less than or equal to" symbol: \(\leq\).
- The **open dot** at 6 indicates that 6 is *not* included, so we use the "less than" symbol: \(<\).

Would you like any further details or explanations? 

Here are 5 related questions to explore:
1. How would you represent the inequality if both endpoints were open dots?
2. What would change in the inequality if the shaded region extended beyond 6?
3. How do you solve inequalities like this algebraically?
4. Can you express this inequality in interval notation?
5. How does this type of inequality apply to real-world situations?

**Tip:** When reading inequalities, always pay attention to whether the endpoint dots are open or closed, as this changes the inequality symbols used.

Write a compound inequality for the graph shown below. Use x for your variable.

Learn how to solve and represent compound inequalities on a number line, like -6 ≤ x < 6, with step-by-step explanations. This problem covers algebraic concepts of inequalities and graph interpretation, suitable for students in Grades 6-8.

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