Based on the description of the number line and the open point plotted at the 250 mark with an arrow extending to the left beyond 50, the inequality represented on the graph can be expressed as follows:
The open point at 250 indicates that the value of \( w \) (the weight of each box) is less than 250, but not equal to 250. The arrow going to the left signifies that \( w \) can take on any value that is less than 250.
Thus, the inequality can be written as:
\[ w < 250 \]