Use Venn diagrams to show that each of the following statements is true.
a. A ∩ B = (A′ ∪ B′)′
b. A ∪ B = (A′ ∩ B′)′
c. (A ∪ B)′ = A′ ∩ B′
d. (A ∩ B)′ = A′ ∪ B′
e. A ∩ (B ∪ C) = (A ∩ B)∪ (A ∩ C)
f. A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
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