Question

A and B are any two non empty sets if n(A)=n(B), then A=B is it true? explain with example

Answer 1

$\textsf{Equal sets:}$

$\textsf{Two sets are said to be equal if they have same elements}$

$\textsf{Equivalent sets:}$

$\textsf{Two sets are said to be equivalent if they have same number of elements}$

$\textsf{It is clear that equal sets are equivalent sets but converse not true}$

$\textsf{Given:}$

$\textsf{n(A)=n(B)}$

$\textsf{Then, number of elements of A is equal to number of elements of B }$

$\textsf{Hence, A and B are equivalent sets but not equal sets}$

$\textsf{so, A=B is not true}$