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