Final answer:
Eosinophils are granulocytes, not agranulocytes, and are not primarily phagocytic. Monocytes are the phagocytic agranulocytes that differentiate into macrophages and dendritic cells to respond to infection or injury.
Step-by-step explanation:
Phagocytic agranular white blood cells (WBCs) are not eosinophils; therefore, the statement is false. Eosinophils are a type of granulocytes, which contain granules in their cytoplasm and are part of the body's immune response, particularly in fighting against parasites. However, they are not primarily phagocytic. The phagocytic agranulocytes are monocytes, which can differentiate into macrophages and dendritic cells, acting as first responders to infection or injury. Macrophages can also produce chemicals that promote inflammation, further engaging in the body's defense mechanisms.