Question

Solve the inequality and graph the solution.
n+9<10
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 \( n + 9 < 10 \), we first isolate \( n \):

1. Subtract 9 from both sides:
\[
n < 10 - 9
\]
\[
n < 1
\]

The solution to the inequality is \( n < 1 \).

### Graphing the Solution

1. **Endpoints:**
- The inequality \( n < 1 \) has a single endpoint at 1.

2. **Open or Closed Endpoint:**
- Since the inequality is strictly less than (\(<\)), we use an open circle at 1 to indicate that 1 is not included in the solution.

3. **Middle of the Segment/Ray to Delete:**
- The solution includes all values less than 1; therefore, we indicate the region to the left of 1. We will keep this entire ray.

### Final Graph:

- Place an **open circle** at 1.
- Shade the area to the left of 1, indicating all the values that are less than 1.

```
<------------------(1)---------------->
```

Here, the line extends infinitely to the left of the open circle at 1, indicating that all numbers less than 1 are included in the solution set.