Question: Let S = {a, b, c, d} and P(S) its power set. Define the minus binary operation by A B = {x S

Let S = {a, b, c, d} and P(S) its power set. Define the minus binary operation by A − B = {x ∈ S | x ∈ A but x /∈ B}. Show that (by counter-examples) this binary operation is not associative, and it does not have identity

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