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Video of Set Theory Part 1: Set Notations
Video of Set Theory Part 1: Set Notations
Set & Elements
Set & Elements
Formally, we list out elements in a set using curly brackets known as braces { }.
Formally, we list out elements in a set using curly brackets known as braces { }.
For example, we can list the set of the first 4 natural numbers this way: {1, 2, 3, 4}
For example, we can list the set of the first 4 natural numbers this way: {1, 2, 3, 4}
Relationships
Relationships
Equality of Sets
Equality of Sets
2 sets (A and B) are considered equal if every element of A can be found in B and vice-versa.
2 sets (A and B) are considered equal if every element of A can be found in B and vice-versa.
Example
Example
{1, 2, 3} = {3, 2, 1}
{1, 2, 3} = {3, 2, 1}
{1, 2, 3} ≠ {0, 1, 2, 3}
{1, 2, 3} ≠ {0, 1, 2, 3}
Notations for Special Sets
Notations for Special Sets
Operators
Operators
Just like how +, − , ✕ and ÷ are the 4 basic operations in arithmetic, we have some basic operators in Set Theory too.
Just like how +, − , ✕ and ÷ are the 4 basic operations in arithmetic, we have some basic operators in Set Theory too.
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