https://file.aiquickdraw.com/mathbot/file/17267568712663vjx805e.png

The image shows a number line with two open circles around -3 and 3. The number line is shaded to the left of -3 and to the right of 3, extending indefinitely in both directions.

This represents the inequality:

\[
x < -3 \quad \text{or} \quad x > 3
\]

This is the solution to a compound inequality where \(x\) is outside the interval between -3 and 3, i.e., \(x\) is either less than -3 or greater than 3. The open circles indicate that -3 and 3 are not included in the solution set (strict inequalities).

Would you like further details or have any questions?

Here are 5 related questions:
1. What does a closed circle on a number line indicate?
2. How would the inequality change if -3 and 3 were included in the solution?
3. How would you write this inequality using interval notation?
4. Can you graph a similar inequality with different boundary values, like -5 and 2?
5. What is the difference between strict inequalities and inequalities that include the boundary?

**Tip:** Open circles on a number line represent values that are not part of the solution (strict inequality), while closed circles represent values that are included in the solution (non-strict inequality).

The number line in the image shows two open circles at -3 and 3, with shading extending indefinitely to the left of -3 and to the right of 3. What inequality does this represent?

Learn how to represent the inequality x < -3 or x > 3 on a number line, using open circles and shaded regions. This lesson covers how strict inequalities are represented and how to read compound inequalities. Suitable for Grades 7-9.

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