To solve the inequality \( x + 123 > 4 \), we first isolate \( x \):
\[ x > 4 - 123 \] \[ x > -119 \]
This means that the solution to the inequality is all values greater than \(-119\).
On a number line, this would be represented by an open circle at \(-119\) and a line extending to the right towards positive infinity (or an arrow pointing to positive numbers).
Now, let's analyze the graph options provided:
- First graph: Open circle at approximately \(5 \frac{2}{3}\) (which is not related to \(-119\)), line extending leftward to \(-10\).
- Second graph: Open circle at approximately \(2 \frac{1}{3}\), line extending leftward to \(-10\).
- Third graph: Open circle at approximately \(5 \frac{2}{3}\), line extending rightward to \(10\) (does not work for the given inequality).
- Fourth graph: Open circle at approximately \(2 \frac{1}{3}\), line extending rightward to \(10\) (does not work for the given inequality).
None of the graphs corresponds to an open circle at \(-119\) with an arrow extending to the right. However, if choosing from your options, it would appear that none are the correct representation for the inequality \( x > -119 \).
If you had an option that showed an open circle at \(-119\) with an arrow extending to the right, that would be the correct representation. Since such an option is not present, none of the graphs are correct.