Question: consider the schema R = (A,B,C,D,E) and the following set F of functional dependencies holds on R: A ->BC CD -> E B -> D

consider the schema R = (A,B,C,D,E) and the following set F of functional dependencies holds on R:

A ->BC

CD -> E

B -> D

E->A

Suppose that we decompose the relation schema R into R3 = (A, B, C) and R4 = (C, D, E) . Show that this decomposition is not a lossless-join decomposition.

Hint: Give an example of a relation r on schema R such that

r != _A,B,C (r) _C,D,E(r)

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