Made Easy Test Series:DBMS-Functional Dependency

Question

Consider a relation $R\left ( A,B,C,D,E \right )$ and functional dependencies are 

$F=\left \{ AC\rightarrow B,C\rightarrow D,A\rightarrow E,C\rightarrow B \right \}$

Relation $R$ is decomposed into  $R_{1}\left ( A,B,C \right )$ and $R_{2}\left ( C,D \right )$

Then Is it a lossless decomposition?

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I am getting doubt, how it can be not lossless decomposition?

Comments

It cannot be lossless because all the attributes are not present in this decomposition.

Answer 1

This is not a loseless decomposition since attributes are not preserved. Here, E is not present.