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### Interval to Set-Builder Notation
The interval given is \((- \infty, -1)\).

This interval represents all real numbers less than \(-1\). In set-builder notation, this is expressed as:

\[
\{ x \mid x < -1 \}
\]

### Graphing the Interval on a Number Line
To graph the interval \((- \infty, -1)\) on a number line:

1. Draw a number line.
2. Mark the point \(-1\) on the number line.
3. Since \(-1\) is not included in the interval, use an open circle at \(-1\).
4. Shade the line to the left of \(-1\) to represent all numbers less than \(-1\).

This visualizes the interval \((- \infty, -1)\) on the number line.

Would you like further details or explanations? Here are some related questions you might find helpful:

1. How do you express an interval that includes its endpoints in set-builder notation?
2. What is the difference between an open and a closed interval?
3. How do you graph an interval that includes positive infinity?
4. How would the interval notation change if \(-1\) were included in the interval?
5. Can you explain the difference between set-builder notation and interval notation?

**Tip:** When converting an interval to set-builder notation, always pay attention to whether the endpoints are included or not, as this affects the inequality symbol used.

Express the interval in set-builder notation and graph the interval on a number line: (-∞, -1)

Learn how to express the interval (-∞, -1) in set-builder notation and visualize it on a number line. Understand the key concepts of set-builder notation and interval notation. This topic is suitable for students in Grades 8-10.

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