A set of attribute X is called closed $($with respect to a given set of FDs$)$ if X $+=$ X$.$ Consider a relation with schema R$($A$,$ B$,$ C$,$ D$,$ E$)$ and an unknown set of FDs$.$ For each close attribute set constraint below, find a set of non$-$trivial FDs over R that is consistent with it$.(1)$ All sets of attributes are closed. $(2)$ The only closed sets of attributes are $\{\}$ and $\{$A$,$B$,$C$,$D$,$E$\}(3)$ The only closed sets of attributes are $\{\},\{$A$,$B$,$D$\}$ and $\{$A$,$B$,$C$,$D$,$E$\}$