Question

if A and B are two non empty sets prove that A * B = B*A ↔ A=B​

Answer 1

if a =b then we trivially have A×B=A×A,B×A conversely.

Then if A=B we have A×B=B×A

now suppose that A×B=B×A. So let €A then for each X€B we have ( a,x)€A×B and since A×B=B×A it means that a€B thus we have shown that A is considerd in B

Answer 2

Answer:

Commutative property is used

Step-by-step explanation: