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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,

A
B
A ∩ B
C

Correct Answer: C

Explanation:

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

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