The problem is asking for an inequality that represents the given graph on the number line, using $x$ as the variable. From the image, it appears that there is a solid dot at 3, and the arrow extends to the right, indicating that the values of $x$ are greater than or equal to 3.

So, the correct inequality for this graph is:

$x \geq 3$

Would you like a detailed explanation of why this is the correct inequality? Here are some related questions you might find helpful:

1. What is the difference between using $\geq$ and $>$ in inequalities?
2. How do we graph inequalities with a number line?
3. What do open and closed circles mean in inequality graphs?
4. Can inequalities be written in a different form and still mean the same thing?
5. How would the graph change if the inequality was $x > 3$ instead?

Tip: A closed dot on a number line means the value is included ($\geq$ or $\leq$), while an open dot means the value is not included ($>$ or $<$).