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Consider a relation schema R = {A, B} and a set of functional dependencies Σ = {A → B}, AB must be a key of R.Question 5Select one:TrueFalse

Question

Consider a relation schema R = {A, B} and a set of functional dependencies Σ = {A → B}, AB must be a key of R.Question 5Select one:TrueFalse

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Solution

The statement is True.

Here's the step by step explanation:

  1. A functional dependency A → B means that for each value of A, there is exactly one value of B associated with it.

  2. In the given relation schema R = {A, B}, the functional dependency is A → B. This means that the value of A determines the value of B.

  3. A key in a relation schema is an attribute or a set of attributes that can uniquely identify a tuple (row) in a relation (table).

  4. Given the functional dependency A → B, it means that A can uniquely determine B. However, we don't have any information about whether B can determine A or not.

  5. Therefore, to ensure that we can uniquely identify any tuple in the relation, we need to consider both A and B together. Hence, AB must be a key of R.

So, the statement "AB must be a key of R" is true.

This problem has been solved

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