Here's the number line that represents the solution $x \in [0, \frac{1}{2}) \cup [\frac{2}{3}, \infty)$:

• The interval from $0$ to $\frac{1}{2}$ is highlighted with a solid blue line, indicating that this segment is part of the solution.
• The interval from $\frac{2}{3}$ to $\infty$ is also highlighted, showing it is included in the solution.
• Open circles at $\frac{1}{2}$ and $\frac{2}{3}$ indicate that these points themselves are not included.

If you have any questions or need further details, feel free to ask!

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Related Questions:

1. How can we represent inequalities involving multiple variables on a graph?
2. What are the steps to graph solutions of quadratic inequalities?
3. How do we express compound inequalities on a number line?
4. Can you solve an inequality involving absolute values with more than one solution interval?
5. What are the conditions under which an absolute value equation has no solution?

Tip: When graphing inequalities on a number line, remember that open circles denote values that are not included in the solution, while closed circles indicate included values.