Solve the inequality and graph the solution.

Question

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.