$1.$ Normalization Exercise Questions: $(15$ marks$)$

Question $1\mathrm{.}1(5$ marks$)$

Consider the following relation:

Given the previous extension $($state$),$ which of the following dependencies may hold in the above relation? If the dependency cannot hold, explain why by specifying the tuples that cause the violation.

i

$.$ A $->$ B ii$.$ B $->$ C iii. C $->$ B iv$.$ B $->$ A v$.$ C $->$ A