Question

Solve the inequality and graph the solution.
w+2≤
–
1
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 \( w + 2 \leq -1 \), let's isolate \( w \) by subtracting 2 from both sides:

\[
w + 2 - 2 \leq -1 - 2
\]

\[
w \leq -3
\]

Now, the solution to the inequality is \( w \leq -3 \).

### Graphing the Solution

1. **Identify the Endpoint**: The endpoint here is \( -3 \).
2. **Closed Interval**: Because the inequality is \( \leq \), we can use a closed circle (or filled circle) at \( -3 \) to indicate that \( -3 \) is included in the solution.
3. **Ray to the Left**: The solution includes all values less than or equal to \( -3 \), which we represent with a line extending to the left.

### Graph Representation

- The point \( -3 \) will be represented as a closed dot.
- A straight line or ray will extend to the left from \( -3 \), indicating all numbers less than \( -3 \).

Here’s a simple representation of the graph:

```
<-----● -3
```

### Summary of Steps
- Solve for \( w \): \( w \leq -3 \).
- Graph the solution with a closed dot at \( -3 \) and a ray extending leftward.