Presented by :
S Jahapriya
25-EDM-14
Pedadody of Mathematics
Types of
set
2
What is a Set?
A set is simply a collection of well-defined objects,
known as elements. For example, the set of vowels in
the English alphabet includes {a, e, i, o, u}.
3
Types of Sets
4
Finite and Infinite Sets
Finite Sets
A finite set has a limited
number of elements. For
example, the set of fingers
on one hand, which
contains exactly five
elements: {thumb, index,
middle, ring, pinky}.
Infinite Sets
An infinite set consists of
endless elements that go
on forever. A common
example is the set of
natural numbers, which
starts from 1 and
continues indefinitely: {1,
2, 3, ...}.
Key Characteristics
Finite sets can be counted
and listed, while infinite
sets cannot be fully
enumerated.
5
Empty or Null Set
An empty set contains no elements,
represented by the symbols or {}.Example
∅
a set of months that have 32 days
6
Singleton Set
A singleton set is a collection containing
exactly one element, such as {0}. Eaxmple set
of even prime {2}
7
Equal Sets
Equal sets are those that contain exactly the same
elements, regardless of their order. For instance,
{1, 2, 3} and {3, 2, 1} are equal sets.
8
Universal Set
The universal set is defined as the set that
includes all possible elements under
consideration for a particular discussion or
problem, forming the basis for other sets.
Universal Set
Engaging
Practice
Problems on
Sets
Is the set of months of the
year finite or infinite?
Are the sets {a, e, i} and
{i, e, a} equal sets?
Understanding sets is essential
It makes many things easier and
simple
Conclusion
Thank you

Introduction to Sets Language- Types of sets

  • 1.
    Presented by : SJahapriya 25-EDM-14 Pedadody of Mathematics Types of set
  • 2.
    2 What is aSet? A set is simply a collection of well-defined objects, known as elements. For example, the set of vowels in the English alphabet includes {a, e, i, o, u}.
  • 3.
  • 4.
    4 Finite and InfiniteSets Finite Sets A finite set has a limited number of elements. For example, the set of fingers on one hand, which contains exactly five elements: {thumb, index, middle, ring, pinky}. Infinite Sets An infinite set consists of endless elements that go on forever. A common example is the set of natural numbers, which starts from 1 and continues indefinitely: {1, 2, 3, ...}. Key Characteristics Finite sets can be counted and listed, while infinite sets cannot be fully enumerated.
  • 5.
    5 Empty or NullSet An empty set contains no elements, represented by the symbols or {}.Example ∅ a set of months that have 32 days
  • 6.
    6 Singleton Set A singletonset is a collection containing exactly one element, such as {0}. Eaxmple set of even prime {2}
  • 7.
    7 Equal Sets Equal setsare those that contain exactly the same elements, regardless of their order. For instance, {1, 2, 3} and {3, 2, 1} are equal sets.
  • 8.
    8 Universal Set The universalset is defined as the set that includes all possible elements under consideration for a particular discussion or problem, forming the basis for other sets. Universal Set
  • 9.
    Engaging Practice Problems on Sets Is theset of months of the year finite or infinite? Are the sets {a, e, i} and {i, e, a} equal sets?
  • 10.
    Understanding sets isessential It makes many things easier and simple Conclusion Thank you