Define DBMS. Write its advantages and disadvantages.

Database Management Systems (DBMS) are software systems used to store, retrieve, and run queries on data. A DBMS serves as an interface between an end-user and a database, allowing users to create, read, update, and delete data in the database.

Advantages:

1. Sharing:

DBMS helps create a data environment where many users can come and

use properly managed data.

2. Security:

A database admin can allow read and write access to any users with the database which improves the security and avoids data...

If z and w are two complex numbers, prove that: |z - w| ≤ |z| + |w|

If z is a complex number, prove that -|z| ≤ Re(z) ≤ |z| and -|z| ≤ Im(z) ≤|z|.