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Answer:
A = {put, the, cake, in, basket}
B = {is, the, cake, in, basket}
C = {no, the, cake, in, basket}
D = { }
Step-by-step explanation:
A = (A -B) ∪ (A∩B) ∪ (A∩C}
A = {put} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
A = {put, the, cake, in, basket}
__
B = (B -A) ∪ (B -C) ∪ (B∩A) ∪ (B∩C)
B = {is} ∪ {is} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
B = {is, the, cake, in, basket}
__
C = (C -B) ∪ (C∩A) ∪ (C∩B)
C = {no} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
C = {no, the, cake, in, basket}
__
D = { } . . . . not defined anywhere