Here you will learn definition of equal sets and equivalent sets with examples.
Let’s begin –
Equal Sets and Equivalent Sets
(i) Equal Sets :
Two finite sets A and B are equivalent if their cardinal numbers are same i.e. n(A) = n(B).
Where cardinal number means numbers of elements in a set.
(ii) Equivalent Sets :
Two sets A and B are said to be equal if every element of A is a member of B, and every element of B is a member of A.
If sets A and B are equal, we write A = B and A \(\ne\) B when A and B are not equal.
If A = {1, 2, 5, 6} and B = {5, 6, 2, 1}. Then A = B, because each element of A is an element of B and vice-versa. Note that the elements of a set may be listed in any order.
For Example : Let A = {1, 2, 3} and B = {a, b, c}
Then set A and set B are equivalent sets because n(A) = n(B) = 3. But not equal sets.
