Practise Problems of Equal Sets

P1. Determine if A = {a, b, c} and {b, c, a} are equal set or not.

P2. Check if set A = {2, 4, 6, 8} and set B = (x: x is positive even integer less then 10)

P3. Determine if the sets P = (x: x is roots of equation, x2 + 5x + 6 = 0) and Q = {2, 3} are equal set or not.

Equal Sets: Definition, Cardinality, and Venn Diagram

Equal Set is the relation between two sets that tells us about the equality of two sets i.e., all the elements of both sets are the same and both sets have the same number of elements as well. As we know, a set is a well-defined collection of objects where no two objects can be the same, and sets can be empty, singleton, finite, or infinite based on the number of its elements.

Other than that, there can be sets based on the relationships between two sets such as subsets, equivalent sets, equal sets, or it can set of subsets for any set, i.e., power sets, etc. This article explores one such relationship of sets known as Equal Set, including definition, examples, properties as well as Venn diagram.

Table of Content

  • What are Equal Sets?
  • Equal Sets Definition
  • Equal Set Symbol
  • Example of Equal Sets
  • Equal and Equivalent Sets
  • Venn Diagram of Equal Sets
  • Properties of Equal Sets

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What are Equal Sets?

Equal sets are those sets whose cardinality is the same and whose all elements are equal. In other words, two sets are regarded as equal sets when they have all the same elements and also the same number of elements....

Equal Sets Definition

If all elements of two or more sets are equal and the number of elements is also equal, then the sets are said to be equal sets....

Equal Set Symbol

Equal Set is represented by “=” sign between any two sets, where the equality holds. For example, {2, 3, 5} and {3, 2, 5} are equal sets and we can represent them using “=” symbol as follows:...

Example of Equal Sets

Let P be the set of all integers greater than 0 and Q be the set of all natural numbers....

Equal and Equivalent Sets

The key differences between equivalent and equal sets are given in the following table:...

Venn Diagram of Equal Sets

The following Venn diagram shows set A = {2, 3, 5} = set B....

Properties of Equal Sets

There are various properties of equal sets, some of which are listed as follows:...

Practise Problems of Equal Sets

P1. Determine if A = {a, b, c} and {b, c, a} are equal set or not....

Solved Example of Equal Sets

Problem 1. Are the sets P = {r: r is prime such that 40 < r < 50} and Q = {42, 44, 45, 46, 48} equal?...

FAQs on Equal Sets

What is the Meaning of Equal Sets?...

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