State whether a ∈ C, if {a} ⊂ A: i: A ⊆ B ii: B ⊆ C

Correct answer: D. Statements (i) and (ii) together are sufficient

  • A. Statement (i) is sufficient
  • B. Statement (ii) is sufficient
  • C. Statements (i) and (ii) are each sufficient on their own
  • D. Statements (i) and (ii) together are sufficient

Explanation

Option D is correct. The chain of relationships {a} ⊂ A, A ⊆ B, and B ⊆ C allows us to conclude that a ∈ C. Statements (i) and (ii) must be combined to establish this link. Options A, B, and C are incorrect because they do not utilize the full chain of subset relationships.

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