Final answer:
The systematic name for Mn₂(SO₄)₃ is manganese(III) sulfate, where manganese is in the +3 oxidation state and sulfate is the anion present.
Step-by-step explanation:
The systematic name for the compound Mn₂(SO₄)₃ is manganese(III) sulfate. In this compound, manganese has a +3 oxidation state as indicated by the Roman numeral III. Each sulfate (SO₄²-) ion has a -2 charge. As two manganese ions are present, the total positive charge is +6, which is balanced by three sulfate ions, each with a -2 charge, contributing to a total negative charge of -6. Therefore, the proper name reflects the manganese ion's oxidation state and the sulfate anion's presence.