Question

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 1

If attribute A determines both attributes B and C, then the correct logical assertion is A → B, showing that the occurrence of A guarantees the occurrence of B.

Step-by-step explanation:

If attribute A determines both attributes B and C, it means that if A occurs, then B and C will also occur. From the options provided, this equates to the logical assertion A → B, which means 'if A, then B'. This matches option A, which is A → B. Therefore, A being true necessitates B being true, which also follows logically for attribute C, meaning that A → C is also a true statement.

However, none of the statements B → A, C → A, nor (B,C) → A necessarily follow from just the information that A determines B and C. These would imply a reciprocal determinative relationship, which is not indicated by the initial statement. Therefore, the correct answer is A) A → B.