Consider the relational schema R(A, B, C, D, E) with the following functional dependencies:
A ⟶ BC
CD ⟶ E
B ⟶ D
E ⟶ A
Is the decomposition of R into R1(A, B, C) and R2(A, D, E) dependency preserving?
I personally think the dependency B->D is not preserved but the answer states the decomposition is dependency preserving.
Correct me if I am wrong?