This document summarizes the immune response to HIV infection. It discusses how CD4 T-cells, cytotoxic T-cells, B-cells, and antigen presenting cells respond to HIV. It notes that while cytotoxic T-cells develop against most HIV proteins, they ultimately fail to control the virus due to epitope escape, exhaustion, or suboptimal responses. Antibody responses face challenges in neutralizing HIV due to the glycosylation and structure of the viral envelope proteins. Overall, the immune system fails to clear HIV because the virus can integrate into genes, mutate to escape responses, and impair the functions of immune cells.