Suppose we have a relation R(A, B, C, D, E) with FDs {A → B, AB → C, D → AC, D → E}. R is decomposed as R1(ACD), R2(DE), R3(ABC). Which of the following statement is true regarding the decomposition?
1. lossless and depending preserving
2. lossless but not depending preserving
3. lossy and dependency preserving
4. lossy and not dependency preserving
Made easy says option 1 but i got option 3. Please guide.