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Equality of Sets

            Equality of sets is defined as set A is said to be equal to set B if both sets have the same elements or members of the sets, i.e. if each element of set A is also belongs to each element of set B as well as each element of set B is also belongs to each element of set A.
           
            Mathematically it can be written as  and  in this case we write as. If there is at least one elements of B which is not in A, then A is not equal to B and we write.

For Example:

  • Let A = {2, 4, 6, 8} and B = {8, 4, 2, 6}, then A = B because each elements of set A that is 2, 4, 6, 8 is equal to each element of set B that is 8, 4, 2, 6. If we rearrange the elements the sets it will be remain same.
  • Let  and B = {2, 8}, then A = B.



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