Solve the inequality and graph the solution.

Question

1>
g–1
7
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( g - 1 > 7 \), we can start by isolating \( g \) on one side. Let's go through the steps:

1. Start with the inequality: \[ g - 1 > 7 \]

2. Add 1 to both sides to isolate \( g \): \[ g > 7 + 1 \] \[ g > 8 \]

The solution to the inequality is \( g > 8 \).

Graphing the Solution

To graph this inequality on a number line:

1. Endpoint: The endpoint is \( 8 \).
2. Open or Closed: Since the inequality is \( > \), we will use an open circle at 8 (indicating that 8 itself is not included in the solution).
3. Ray: From the open circle, draw a ray extending to the right (indicating all values greater than 8 are included in the solution).

Summary of the Graph

• A number line with an open circle at 8.
• A ray extending to the right from 8, indicating that all numbers greater than 8 are part of the solution.

Thus, the final representation will look like this:

<---|---|---|---|---|---|---|---|---|---|---|--->
    6   7   (8)   9   10   11

Where there is an open circle at \( 8 \) and a ray extending to the right: \( (8, \infty) \).