Let
U = {a, b, c, d, e, f, g, h, i}
A = {a, c, d, e, f}
B = {c, d}
C = {a, b, c, d, e}
a) Determine whether (A ⋃ C)′∩B = (A ∩ C)′ ∩ B for these sets.
b) Make up your own sets, A, B, and C. Determine whether (A ⋃C)′∩B = (A ∩C)′∩B for your sets.
c) Determine whether (A ⋃ C)′ ∩ B = (A ∩ C)′ ∩ B for all sets A, B, and C.
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