In: Statistics and Probability
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
MINUS BINARY OPERATION: binary operation is a calculation that combines two elements to produce another element.
IDENTITY: An identity function assigns every real number to the same real number. It is identical to the identity map.