To solve the inequality \( -2 \leq w + 2 \), we can isolate \( w \) by following these steps:
- 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
- Endpoints: The endpoint of the interval is \( -4 \).
- Closed or Open Endpoint: Since the inequality is \( \geq \), the endpoint \( -4 \) will be closed (included in the solution).
- 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.