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
- Identify the Endpoint: The endpoint here is \( -3 \).
- 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.
- 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.