Final answer:
The specialized granulocytic cell that inactivates the mediators of acute allergic reactions is the eosinophil. The correct option is D.
Step-by-step explanation:
The highly specialized member of the granulocytic series that can inactivate the chemical mediators of acute allergic reactions is the D. Eosinophil. Eosinophils are non-phagocytic leukocytes related to neutrophils, which specialize in defending against parasites by secreting a range of highly toxic substances when activated.
However, they are also known for their role in modulating allergic reactions and asthma, which often involves combating the excess release of histamine and other proinflammatory compounds. Basophils, which are also involved in allergic responses, release histamine that contributes to inflammation, but they are not the ones inactivating the mediators of these reactions.