Final answer:
Lorraine Hansberry's first play was 'A Raisin in the Sun,' published in 1959 and known for its depiction of complex social issues and being the first Broadway production by an African American woman.
Step-by-step explanation:
Lorraine Hansberry's first play, A Raisin in the Sun, was a groundbreaking work and it was first published in 1959.
Its debut marked a significant event in American theater history, being the first play written by an African American woman to be produced on Broadway. The narrative of the play revolves around the Younger family, grappling with issues of racism, identity, and dreams, which still resonate today.
Hansberry's work not only explored complex social issues but also paved the way for future writers in the realm of American drama.