Question

Solve the inequality and graph the solution.
–
2≤w+2
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 \( -2 \leq w + 2 \), we can isolate \( w \) by following these steps:

1. Start by subtracting 2 from both sides:
\[
-2 - 2 \leq w
\]
\[
-4 \leq w
\]
or, equivalently,
\[
w \geq -4
\]

Thus, the solution to the inequality is \( w \geq -4 \).

### Graphing the Solution

1. **Endpoints**: The endpoint of the interval is \( -4 \).
2. **Closed or Open Endpoint**: Since the inequality is \( \geq \), the endpoint \( -4 \) will be closed (included in the solution).
3. **Plotting the Graph**:
- Place a closed circle at \( -4 \).
- Draw a ray extending to the right (the positive direction) indicating that any value greater than or equal to \( -4 \) is included in the solution.

### Final Graph Representation:

The graph will look like this:

\[
\text{Closed circle at } -4 \; \; \; \text{--------->} \text{(ray extending right)}
\]

### Summary of Steps:
- The solution is \( w \geq -4 \).
- Closed circle at \( -4 \) indicates it is included.
- Ray extends to the right, indicating all values greater than \( -4 \) are part of the solution.