Question

1. Relation R(A,B,C) currently has only the tuple (0,0,0), and it must always satisfy the functional dependencies A → B and B → C. what condition(s) must be obeyed by any tuple that may be inserted without violating either of these FDs? Identify from the list below the tuple that may be inserted into R legally O a) (0,1,2) O d) (1,2.0)

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Answer #1

Answer d) (1,2,0)

Explanation: In case of to avoid violation of FD A->B, then the new tuple must be of the form (0,0,w) or (x,y,z) where x !=0. Similarly, to avoid violating B->C, inserted new tuple must be of the form (w,0,0) or (x,y,z) where y!=0. Thus, we can say that new tuple must be either of the form (w,0,0) or of the form (x,y,z) where x!=0 and y!=0. So answer must be (1,2,0).

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