https://file.aiquickdraw.com/mathbot/file/17263280480079mtft1wp.jpg

The graph shows a number line with two points highlighted: one at \(-3\) with a closed circle (indicating the value \(-3\) is included in the solution) and one at \(1\) with an open circle (indicating the value \(1\) is not included in the solution). The shading on the line is between these two points, meaning the solution includes all numbers between \(-3\) and \(1\), but not including \(1\).

The compound inequality for this graph is:

\[
-3 \leq x < 1
\]

### Would you like further clarification or have any questions?

Here are 5 related questions you might want to explore:
1. How do open and closed circles affect inequality notation?
2. What is the difference between strict inequalities and non-strict inequalities?
3. Can you represent this inequality in interval notation?
4. How do you solve compound inequalities like this algebraically?
5. How can inequalities be graphed on a coordinate plane?

**Tip:** In interval notation, closed circles mean you use square brackets \([ \ ]\), and open circles mean you use parentheses \(( \ )\).

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

Learn how to write a compound inequality for a number line graph. This problem involves algebraic concepts and requires knowledge of how to interpret open and closed circles, as well as the range of solutions between two points on a graph. Suitable for students in Grades 6-8.

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