# Universal, Mutually Exclusive & Disjoint Sets

__UNIVERSAL SET:__
A

**universal set**is a set of all elements under consideration. It is denoted by**U**. A Universal set is always a non-empty set.
For example: The set of real numbers R is a universal set for the operations related
to real numbers.

*Example:*
Given that U = {5, 6, 7, 8, 9, 10, 11, 12}, list the elements of the following sets.

- A = {x : x is a prime number}
- B = {x : x is a factor of 60}

*Solution:*
The elements of sets A and B can only be selected from the given universal set U

- A = {5, 7, 11}
- B = {5, 6, 10, 12}

__MUTUALLY EXCLUSIVE SETS OR DISJOINT SETS:__
Two sets are called disjoint if they don't have any common element.

For example, A = {2, 3, 4} and B = {5, 6, 7} are

For example, A = {2, 3, 4} and B = {5, 6, 7} are

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