Verify the following identity: A\B=A∩B. (a) Define and explain the meaning of the symbols used in the identity, specifically A\B and A∩B.
(b) Provide a concise explanation of set difference (A\B) and set intersection (A∩B), highlighting their fundamental concepts.
(c) Outline the steps and logical reasoning involved in verifying the given identity, emphasizing the equality of the two sides.