Final answer:
The activation of phagocytic cells by lipopolysaccharide via toll-like receptors promotes chemotaxis and activation of other leukocytes.
Step-by-step explanation:
Focusing on the options provided, following the activation of phagocytic cells by the recognition and binding of lipopolysaccharide via their toll-like receptors, the activity that can occur is the promotion of chemotaxis and activation of other leukocytes. Chemotaxis is the movement of phagocytes, such as macrophages and neutrophils, towards the site of infection or inflammation in response to chemical signals like cytokines and chemokines. Once the phagocytes are activated, they can recruit and activate other leukocytes, such as T cells and B cells, to join the immune response and fight against the pathogen.