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Which of the following pairs of sets are comparable?
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- A = {1, 3, 5}, and B = {3, 2, 5, 6}
- A = {x: x ∈ N and x ≤ 10} and B = {1, 2, 3,…, 10, 11}
- A = {1, 2, 3, {4, 5}}, and B = {1, 2, 3, 4, 5}.
- None of these
Correct Option: B
(a) 1∈ A but 1∉ B and 6 ∈ B but 6 ∉ A.
∴ A and B are not comparable.
(b) A = {x: x ∈ N and x ≤ 10} = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Clearly, A ⊂ B ⇒ A and B are comparable.
(c) {4, 5} ∈ A but {4, 5} ∉ B and 4 ∈ B but 4 ∉ A.
∴ A and B are not comparable.
