Question: 5. Prove that: (A B) B = A for any sets A, B where is the symmetric difference operator defined here: Given sets A and

5. Prove that: (A B) B = A for any sets A, B where is the symmetric difference operator defined here:

Given sets A and B, the symmetric difference of A and B, denoted A B is, A B = (A - B) U (B = A)

You may write a direct or an algebraic proof.

Please show all steps taken and all set identities used. Thank You!

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