Question

graph the interval represented in interval notation on the number line. (-6, 5) answer attempt 1 out of 2 number line: image of number line with markings

Explanation:

Step1: Understand the interval notation

The interval \((-6, 5)\) is an open interval, which means it includes all real numbers greater than \(-6\) and less than \(5\). In terms of number line representation, we use open circles (or parentheses) at the endpoints to indicate that the endpoints themselves are not included.

Step2: Locate the endpoints on the number line

• Find \(-6\) on the number line. Since the interval is open at \(-6\), we draw an open circle (or a parenthesis) at \(-6\).
• Find \(5\) on the number line. Similarly, since the interval is open at \(5\), we draw an open circle (or a parenthesis) at \(5\).

Step3: Draw the line segment between the endpoints

Draw a line segment connecting the open circle at \(-6\) to the open circle at \(5\). This line segment represents all the numbers in the interval \((-6, 5)\).

Answer:

To graph the interval \((-6, 5)\) on the number line:

1. Place an open circle (or a parenthesis) at \(-6\) (indicating \(-6\) is not included).
2. Place an open circle (or a parenthesis) at \(5\) (indicating \(5\) is not included).
3. Draw a line segment connecting the two open circles to represent all numbers between \(-6\) and \(5\).