Since a partial dependency can exist only if a table's primary key is composed of several attributes, if a table in 1NF has a single-attribute primary key, then the table is automatically in 2NF.

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This statement is true. In 1NF, each attribute in a table should be atomic and not multivalued. If a table has a single-attribute primary key, then there can be no partial dependencies as there are no other attributes to depend on. Therefore, the table is automatically in 2NF, which requires the elimination of partial dependencies.

Since a Partial Dependency Can Exist Only If a Table's