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.