Question

If A = {x I x ∈ Z, x³ = x}, B = {x I x ∈ Z, x² = x}, C = {x | x ∈ N, x² = x}, then considering U = {-1, 0, 1, 2}, verify the following results.
(1) (B ∪ C)' = B' ∩ C'
(2) (C')' = C
(3) (B ∩ C)' = B' ∪ C'

Answer 1

2) (C')' = C


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