Final answer:
The state that contains Greensboro, Winston-Salem, Durham, and Chapel Hill is North Carolina.
Step-by-step explanation:
Greensboro, Winston-Salem, Durham, and Chapel Hill are all cities located in the state of North Carolina.
Greensboro is famous for the Greensboro Sit-Ins, which were protests led by students at North Carolina A&T against racial segregation in public establishments. These sit-ins played a significant role in the Civil Rights Movement.
Winston-Salem is known for its tobacco industry and is home to the headquarters of several major tobacco companies. Durham is home to Duke University, a prestigious institution known for its strong academic programs. Chapel Hill is home to the University of North Carolina at Chapel Hill, the oldest public university in the United States.