Final answer:
The task that requires supervision of the UAP is reporting signs of redness overlying a joint.
Step-by-step explanation:
The task that requires supervision of the unlicensed assistive personnel (UAP) is A) Report signs of redness overlying a joint. The UAP should report any signs of redness overlying a joint to the nurse, as this could indicate worsening of the musculoskeletal disorder and may require further assessment and intervention. Monitoring the client's response to ambulatory activity (option B), encouragement for independence in self-care (option C), and assisting the client to transfer from a bed to a chair (option D) are all tasks that can be performed by the UAP without direct supervision.