In Section 2.2, we defined the symmetric difference of two sets. More generally, the symme...

In Section 2.2, we defined the symmetric difference of two sets. More generally, the symmetric difference of n ≥ 3 sets A1, … An can be defined inductively as follows:

Prove that for any n ≥ 2, A1 ⊕ A2 ⊕ … ⊕ An consists of those elements in an odd number of the sets A1,…, An.