Final answer:
In 'Gifted Hands: The Ben Carson Story,' Ben Carson's family moved to the Boston slums after his mother decided to rent out their house in Detroit.
Step-by-step explanation:
In Gifted Hands: The Ben Carson Story, the family moved to the slums of Boston after Ben's mother decided to rent out their house in Detroit. In the book, this move plays a pivotal role in exposing Ben to both the challenges and possibilities of his new environment, which ultimately contributes to his personal and academic development. It's a testament to the resilience and determination of Carson's family, especially his mother who makes significant sacrifices for the betterment of her children.