Question: Consider the relation R = {A, B, C, D, E, F, G, H, 1,J} and the set of functional dependencies F = {{A, B} ->

Consider the relation R = {A, B, C, D, E, F,

Consider the relation R = {A, B, C, D, E, F, G, H, 1,J} and the set of functional dependencies F = {{A, B} -> {C}, {A} -> {D, E}, {B} -> {F}, {F} -> {G, H}, {D} ->{I, J}}. (a) Proof {A}->{E,J} holds by using inference rules. (10 marks) (b) Whether {A,B,C} is a super key? Whether {A,B,C} is a candidate key? Why? (10 marks) (c) Whether {A,F} is a super key? Whether {A,F} is a candidate key? Why? (10 marks) (d) Decompose R into 2NF. (10 marks) (e) Decompose R into BCNF. (10 marks)

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