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If attribute A determines both attributes B and C, then it is also true that:

  • A.
    A → B.
  • B.
    B → A.
  • C.C → A.
  • D.(B,C) → A.

Answer: A

Correct answer: A → B.

If A determines the pair (B, C), then it determines each of them separately: given a value of A, the value of B is fixed and so is the value of C. This is the decomposition rule of Armstrong’s axioms. The converse does not hold, so nothing follows in the reverse direction, and the other three options all reverse the arrow.

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