Question: Exercise 5 (20 points: 10 points for each part) Let A, and B be two sets in a universe U. The symmetric difference of A

Exercise 5 (20 points: 10 points for each part) Let A,

Exercise 5 (20 points: 10 points for each part) Let A, and B be two sets in a universe U. The symmetric difference of A and B, denoted A B, is the set containing those elements in either A or B, but not in both A and B. This definition can be rewritten as. AB-(AUB)-(An B). Show that: a) (AB) B=A b) AB=(A-B)U(B-A)

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