Analyze the Number Line: Solving the Diagram's Inequality from -4 to 3

The task is to interpret the inequality shown by a number line diagram.

First, observe the number line diagram provided. The numbers -4 and 3 are highlighted with vertical dashed lines. A critical point is at 3, where the circle is filled, indicating the inclusion of this point in the set. The line then extends from 3 to the right, suggesting that any point greater than or equal to 3 is included.

This indicates the inequality for $x$ is $x \geq 3$. The filled circle means 3 itself is part of the solution.

Thus, the solution to the inequality represented by the diagram is:

$3 \leq x$

This matches with choice number 3 in the provided options: $3 ≤ x$.