Final answer:
The correct action when facing an issue with a blood pressure cuff causing pain is to remove the cuff from the client, take the device out of service, and call biomedical services for maintenance.
Step-by-step explanation:
When a nurse encounters an issue with a blood pressure cuff during routine vital sign checks, the most appropriate action to take if the client reports pain due to the cuff inflating too tightly and unusual sounds are heard from the machine, would be to remove the cuff immediately for the client's safety.
Subsequently, the device should be taken out of service to prevent potential harm to other patients, and the biomedical services should be alerted for necessary maintenance and inspection of the equipment. It's crucial to prioritize patient comfort and safety over completing the measurement at that time. Using a faulty device could lead to incorrect readings and potentially harm the patient.