Final answer:
The correct rule to replace the question mark in the proof segment is ¬r.
Step-by-step explanation:
To select the correct rule to replace the question mark in the proof segment, we need to determine the logical relationship between the given hypotheses (¬p∧q and ¬r∨q).
By analyzing the two hypotheses, we can see that they share a common component, which is q. Using logical reasoning, we can conclude that the correct rule to replace the question mark would be ¬r.