Theory:

Sets
A set is a collection of well-defined distinguishable objects.
The set is denoted by a capital letter, whereas the elements of a set are represented by small letters written within the curly braces \(\{ \}\).
Example:
\(A\) is the set of all even numbers less than \(10\).
\(A =\) \(\{2, 4, 6, 8\}\)
 
We will extend the concept of sets in the following two forms.
  • Functions
  • Relations
Almost every day-to-day situations can be mathematically represented either through a function or a relation.
Some real-life examples of functions and relations
  • The height of a person at a particular age can be expressed as a function.
 
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  • The area and volume of geometrical figures can be expressed as a function with one or more variables.
 
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  • The temperature at a particular season represents a relation.
 
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To extend sets to functions and relations, we need to know the cartesian product of two non-empty sets, which we will discuss in the upcoming exercises.
 
Important!
Refer below to recall set operations.
 
Reference:
https://pixabay.com/photos/seasons-4-seasons-four-seasons-5880235/