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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,
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- A
- B
- A ∩ B
- C
Correct Option: D
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.
