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CISCEICSE ICSE Class 8
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पाठ्यक्रम

Types of Sets

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Topics

  • Introduction
  • Exploring Different Types of Sets
  • Real-Life Applications
  • Key Points Summary
CISCE: Class 6

Introduction

A set is simply a group of objects that have something in common.
Think about your favourite books, the days of the week, or all your friends—you group them together because they share a common feature.

CISCE: Class 6

Exploring Different Types of Sets

Type of Set Definition Example
Finite Set A set with a limited number of elements that can be counted. P = {Natural numbers less than 50 }
   = {1, 2, 3, ..., 49}
Infinite Set A set with an unlimited number of elements that cannot be counted. Q = Set of whole numbers
    ={0, 1, 2, 3, ...}
Empty Set (Null Set) A set that contains no elements. Ø (No elements)
Equal Sets Two sets with identical elements. A = {1, 2, 3, 4}
B = {Natural numbers less than 5}
Equivalent Sets Two sets with the same number of elements, but not necessarily identical. A = {x, y, z}
B = {Patna, Calcutta, Delhi}
Disjoint Sets Two sets with no common elements. A = {Set of students in Class X} and
B = {Set of students in Class XII}
Overlapping Sets Two sets with at least one common element. A = {5, 6, 7, 8, 9, 10} and
B = {4, 6, 8, 10, 12}
 6, 8 and 10 are common. 
CISCE: Class 6

Real-Life Aplications

  • Finite set: The set of students in your class (you can count them!)

  • Infinite set: The set of numbers—counting never ends!

  • Empty set: The set of green elephants in your city.

  • Equal sets: Two baskets, each with a mango, a banana, and an apple.

  • Equivalent sets: Your desk has {pen, pencil, eraser}; your friend’s desk has {book, sharpener, ruler}. Both have 3 items.

  • Disjoint sets: Group A is kids who have cats, and Group B is kids who have dogs—if nobody has both.

  • Overlapping sets: Group A is kids who play football, and Group B is kids who play chess—some kids do both!

CISCE: Class 6

Key Points Summary

  • Finite set: countable.

  • Infinite set: never-ending.

  • Empty set: no items at all.

  • Equal sets: name things.

  • Equivalent sets: same number, different things.

  • Disjoint sets: nothing in common.

  • Overlapping sets: some things in common.

Test Yourself

Related QuestionsVIEW ALL [53]

State, whether the given set is infinite or finite:

{3, 5, 7, ………}

State, whether or not the following set is empty:

{Women with height 5 metre}

State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:

C = {Boys with ages above 20 years} and

D = {Boys with ages above 27 years}

State, whether the following are finite or infinite sets:

{x : x is a whole number less than 20}

State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:

P = {Students of class IX studying in I.C.S.E. Board} and

Q = {Students of class IX}

State, whether the following is a finite or infinite set:

{ …….., -4, -2, 0, 2, 4, 6, 8}

State, if the given pair of sets are equal sets or equivalent sets:

{Letters of the word MEMBER} and {Letters of the word ‘REMEMBER’}

For the statement, given below, write True or False:

{Even natural numbers divisible by 3} is the empty set

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