$5$ Mark the following statements as T $($True$)$ or F $($False$).$

$-----$A relation without any functional dependencies is in BCNF

$----$ For a relation to be in BCNF$,$ it needs to be in First Normal Form

$----$ We check if a relation R is in BCNF by looking at the given set of FDs which hold for R$.$

$----$ A relation R$($A$,$B$)$ with F $=\{$A$->$B$\}$ is in BCNF

$----$ A relation R$($A$,$B$,$C$)$ with F $=\{$AB$->$C$\}$ is in BCNF

$----$ A relation R$($A$,$B$,$C$)$ with F $=\{$A$->$B$\}$ is in BCNF