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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 inside 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 situation 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.
- The area and volume of geometrical figures can be expressed as a function with one or more variables.
- The temperature in a particular season represents a relationship.
To go from sets to functions and relationships, we need to know the cartesian product of two non-empty sets. We will talk about this in the exercises that follow.
Important!
Refer below to recall set operations.
Reference:
https://pixabay.com/photos/seasons-4-seasons-four-seasons-5880235/
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