The answers to exercises marked [BB] can he found in the Back of the Book.
Let A = {x ∈ N | x < 7}, B = {.x ∈ Z | |x − 2| < 4}, and C = {.v ∈ R | x3 − Ax = 0}.
(a) [BB] List the elements in each of these sets.
(b) Find A U C, B ∩ C, B \ C, A ∩ B, C × (B ∩ C), (A \ B) \ C, A \ (B \ C), and (B U 0) ∩ {0}.
(c) List the elements in 5 = {(a, h) ∈ A × B \ a = b + 2} and in T = {(a, c) ∈ A × C \ a ≤ c}.
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