1. The problem is to write the inequality represented by the graph. 2. The graph shows a solid dot at $-2$ and a line extending to the right up to $4$ and beyond, indicating all numbers greater than or equal to $-2$. 3. A solid dot means the value at $-2$ is included, so the inequality uses \geq (greater than or equal to). 4. The inequality is therefore: $$x \geq -2$$ 5. This means $x$ can be any number starting from $-2$ and going to positive infinity. 6. The number $4$ is just a point on the line and does not limit the inequality. Final answer: $$x \geq -2$$