Defining the database management system and identifying the differences between a database and a database management system

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Question:

Defining the database management system and identifying the differences between a database and a database management system (DBMS) or relational database management system (RDBMS). Please provide the following information:

Why do we need DBMSs or RDBMSs?
What experience do you have with a DBMS or RDBMS?
What are some real-world examples of organizations or processes that have benefited from utilizing a management system (DBMS or RDBMS) and why?