Question

Solve the inequality and graph the solution.
w–18<
–
20
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:

\[ w - 18 < -20 \]

1. **Add 18 to both sides** to isolate \( w \):

\[
w < -20 + 18
\]
\[
w < -2
\]

Now we can graph the solution. The solution means that \( w \) can take any value less than \(-2\).

### Graphing:

1. **Plot the endpoint** at \(-2\).
2. Since the inequality is strict (no "equal to" part), we use an **open circle** at \(-2\), indicating that \(-2\) is not included in the solution.
3. The solution is all values less than \(-2\), which we represent as a ray extending to negative infinity.

The graph will look like this:

```
<---( -2 )--------------------->
```

Where:
- The parenthesis around \(-2\) indicates it's an open endpoint.
- The arrow indicates the direction towards negative infinity.

So, the final visual representation of the solution \( w < -2 \) is shown as above with the open circle at \(-2\).