Question

graph the interval represented in interval notation on the number line. (-1, 8) answer attempt 1 out of 1 number line

Explanation:

Step1: Understand Interval Notation

The interval \((-1, 8)\) in interval notation means all real numbers greater than \(-1\) and less than \(8\). The parentheses indicate that \(-1\) and \(8\) are not included in the interval.

Step2: Mark Points on Number Line

• Locate \(-1\) on the number line. Since \(-1\) is not included, we use an open circle (or hollow dot) at \(-1\).
• Locate \(8\) on the number line. Since \(8\) is not included, we use an open circle (or hollow dot) at \(8\).

Step3: Draw the Interval

Draw a line segment connecting the open circle at \(-1\) to the open circle at \(8\). This line segment represents all the numbers between \(-1\) and \(8\) (excluding \(-1\) and \(8\)) on the number line.

Answer:

To graph the interval \((-1, 8)\) on the number line:

1. Place an open circle at \(-1\) (because \(-1\) is not included in the interval).
2. Place an open circle at \(8\) (because \(8\) is not included in the interval).
3. Draw a line segment connecting the open circle at \(-1\) to the open circle at \(8\) to represent all real numbers between \(-1\) and \(8\).