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The provided graph and instructions ask to plot the solution to the inequality \( x < -4 \) or \( x \geq 0 \).

Here’s how the solution is represented on the number line:

1. **For \( x < -4 \)**:
   - This represents all numbers less than -4. 
   - On the graph, this is an open circle at -4 (since \( x \) is strictly less than -4, -4 is not included) with an arrow going to the left.

2. **For \( x \geq 0 \)**:
   - This includes all numbers greater than or equal to 0.
   - On the graph, this is a closed circle at 0 (since \( x \) can equal 0) with a ray extending to the right, representing all numbers greater than 0.

Thus, you would have:
- An open circle at \( -4 \) with an arrow going left.
- A closed circle at \( 0 \) with an arrow going right.

Would you like further details or have any questions?

Here are some related questions to expand understanding:

1. How would you graph \( x > -2 \) and \( x \leq 3 \)?
2. What is the difference between open and closed circles in inequalities?
3. How do you represent \( -2 \leq x < 5 \) on a number line?
4. Can you combine inequalities such as \( -4 < x < 0 \)?
5. How would you graph \( x \leq -3 \) or \( x > 2 \)?

**Tip:** Always remember that open circles represent values that are *not* included in the solution, while closed circles represent values that *are* included.

Graph {x | x < -4 or x ≥ 0}. Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of a segment, ray, or line to delete it.

Learn how to graph the inequality x < -4 or x ≥ 0 on a number line. This solution includes step-by-step instructions for plotting open and closed circles, understanding the difference between less than, greater than, and equal to, and graphing inequalities. Suitable for students in Grades 6-8.

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