To solve the inequality \( x + 123 > 4 \), we first isolate \( x \):
\[ x > 4 - 123 \]
\[ x > -119 \]
This means that the solution includes all numbers greater than \(-119\).
On a number line, this is represented with an open circle at \(-119\) and a line (or arrow) extending to the right towards positive infinity.
Based on the descriptions provided, none of the options specifically refer to \(-119\). Therefore, none of the images correctly represents the solution to the inequality \( x + 123 > 4 \).
If you have images that specifically indicate open circles and arrow directions, please double-check them for the correct point and direction.