Вопрос:

2. Найдите множества A ∩ B, A ∪ B, B ∖ A: A = {x | x ∈ Z, x ≥ 5}, B = {x | x ∈ N, x ≤ 11}.

Ответ:

A ∩ B = {x | x ∈ N, 5 ≤ x ≤ 11} = {5, 6, 7, 8, 9, 10, 11}. A ∪ B = {x | x ∈ Z, (x ≥ 5 or x ∈ N, x ≤ 11)}. B ∖ A = {x | x ∈ N, x ≤ 4} = {1, 2, 3, 4}.

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