Let A = {x: x ∈ N ∧ x is a multiple of 2} B = {x: x ∈ N ∧ x is a multiple of 5} C = {x: x ∈ N ∧ x is a multiple of 10} Describe the set A ∩ (B ∪ C)

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B = {5, 10, 15,…} C = {10, 20, 30,…} B ∪ C = {5, 10, 15,…} ∪ {10, 20, 30,…} B ∪ C = {5, 10, 15,…} ∴ A ∩ (B ∩ C) = {2, 4, 6,…} ∩ {5, 10, 15,…} = {10, 20, 20,…} = C.

Let A = {x: x ∈ N ∧ x is a multiple of 2} B = {x: x ∈ N ∧ x is a multiple of 5} C = {x: x ∈ N ∧ x is a multiple of 10} Describe the set A ∩ (B ∪ C)

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