Explanation:

Identification of Electrolysis Using Inert Electrodes:
When using inert electrodes for electrolysis, the products formed at the electrodes are determined by the ions present in the electrolyte solution. Inert electrodes do not react with the electrolyte or participate in the redox reactions occurring during electrolysis. Therefore, the products of the electrolysis will be solely based on the ions present in the solution.

Analysis of the Given Options:
A) 1M CuSO4, 1M CuCl2
- In the presence of inert electrodes, CuSO4 will produce copper metal at the cathode and oxygen gas at the anode. CuCl2 will produce chlorine gas at the anode and copper metal at the cathode.
B) 1M KCl, 1M KI
- KCl will produce chlorine gas at the anode and potassium metal at the cathode. KI will produce iodine gas at the anode and potassium metal at the cathode.
C) 1M AgNO3, 1M CuSO4
- AgNO3 will produce silver metal at the cathode and oxygen gas at the anode. CuSO4 will produce copper metal at the cathode and oxygen gas at the anode.
D) 1M CuBr2, 1M NiBr2
- CuBr2 will produce bromine gas at the anode and copper metal at the cathode. NiBr2 will produce nickel metal at the cathode and bromine gas at the anode.

Conclusion:
Based on the analysis, the correct option that can be distinguished by the product of electrolysis using inert electrodes is:
- A) 1M CuSO4, 1M CuCl2
This is because the products formed during the electrolysis of CuSO4 and CuCl2 using inert electrodes are different, allowing for their distinction.