Final answer:
Jane Addams gained sympathy for poor immigrants through Hull House, which provided social services and support to the community in need.
Step-by-step explanation:
Jane Addams gained sympathy for the poor immigrants arriving in America by starting Hull House, a settlement house in Chicago in 1889. Hull House provided social services to the poor in the area, such as cultural events, classes, exhibits, childcare, playgrounds, clubs, and summer camps. Addams and her colleagues also offered assistance with employment and legal aid, and operated a health-care clinic. Through these efforts, Addams aimed to address the needs of the whole community and make a positive impact on the lives of immigrants.