Question

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

Answer 1

A and B are any two non-empty sets and if n(A)=n(B), then A=B is not always true.

• Example 1 :

Let A and B be two sets such that A = {a,b,c} and B = {d,e,f}

Therefore, n(A)=3 and n(B)=3.

n(A) denotes the number of elements in the set A.

But , A ≠ B.

• Example 2 :

Let A and B be two sets such that A = {a,b,c} and B = {a,b,c}

Therefore, n(A)=3 and n(B)=3.

n(A) denotes the number of elements in the set A.

But , A = B.

• Therefore, if n(A) = n(B) then A=B is not always true.