Question

Graph this inequality on a number line: x > -5​

Answer 1

Graph the inequality x > -5 by marking an open circle on -5 on the number line and shading to the right, indicating all numbers greater than -5 are included in the solution set.

Step-by-step explanation:

To graph the inequality x > -5 on a number line, you will need to perform the following steps:

1. Draw a horizontal line to represent the number line.
2. Mark the point -5 on the number line.
3. Since the inequality is x > -5, you do not include the point -5 within the solution set. Place an open circle on -5 to indicate that -5 is not part of the solution.
4. Shade the portion of the number line to the right of -5 to represent that all numbers greater than -5 are included in the solution set.

The open circle on -5 indicates that the value -5 is not included in the range of solutions. All values to the right of -5 on the number line are part of the solution set since x is greater than -5.