Question

Solve the inequality and graph the solution.
s–2>6
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 \( s - 2 > 6 \), we can follow these steps:

1. **Isolate \( s \)**:
\[
s - 2 > 6
\]
Add 2 to both sides:
\[
s > 6 + 2
\]
Simplifying the right side gives:
\[
s > 8
\]

2. **Graph the solution**:
The solution \( s > 8 \) means all numbers greater than 8.

- We will plot an open circle at the point \( s = 8 \) to indicate that 8 is not included in the solution.
- We will then shade to the right of 8 to represent all numbers greater than 8.

Here is a rough representation of the graph:

```
<-----o====================>
8
```

In this graph:
- The 'o' at 8 indicates that it is an open endpoint (not included).
- The line shows that the solutions go to the right of 8, representing all values greater than 8.

So, the solution to the inequality \( s - 2 > 6 \) is \( s > 8 \), and it is represented graphically with an open circle at 8 and shading to the right.