Final answer:
In a resource allocation graph, the absence of cycles implies that the system is in a safe state since there is no deadlock condition.
Step-by-step explanation:
If no cycle exists in the resource allocation graph, then the system will be in a safe state. A cycle in a resource allocation graph typically indicates the potential for a deadlock, where multiple processes are waiting for resources held by each other, creating a standstill. With no cycles, no such standstill can occur, suggesting that process requests can continue to be granted without leading to a deadlock. Thus, the correct answer to the question is b) Then the system will be in a safe state.