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Consider a relation R with ?ve attributes ABCDE.

1. For each of the following instances of R, state whether it violates (a) the FD BC → D and (b) the MVD BC →→ D:

(a) { } (i.e., empty relation) (b) {(a,2,3,4,5), (2,a,3,5,5)}

(c) {(a,2,3,4,5), (2,a,3,5,5), (a,2,3,4,6)} (d) {(a,2,3,4,5), (2,a,3,4,5), (a,2,3,6,5)} (e) {(a,2,3,4,5), (2,a,3,7,5), (a,2,3,4,6)}

(f) {(a,2,3,4,5), (2,a,3,4,5), (a,2,3,6,5), (a,2,3,6,6)} (g) {(a,2,3,4,5), (a,2,3,6,5), (a,2,3,6,6), (a,2,3,4,6)}

2. If each instance for R listed above is legal, what can you say about the FD A → B?

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