To solve the inequality \( x + 123 > 4 \), we first isolate \( x \):
- Subtract 123 from both sides: \[ x > 4 - 123 \]
- Simplify the right side: \[ x > -119 \]
The solution indicates that \( x \) can take any value greater than \(-119\).
On a number line, this means you would draw an open dot at \(-119\) to indicate that \(-119\) is not included in the solution, and shade the line to the right of \(-119\), extending towards positive infinity.
If the image provided in the question represents this shading and an open dot at \(-119\), then it would be the correct choice. If the image currently shows a number line without specific indication of that point or shading, please clarify what the graph looks like so I can assist you better.