Question

. If A= {1, 3, 5} and B= {2, 3} then show that A x B ≠ B x A

Answer 1

Answer:

Given

A = {1,3,5} and B = {2,3}

To Prove : A × B ≠ B × A

Taking L.H.S :-

=> A x B

=> {1,3,5} x {2, 3}

=> {(1,2), (1,3), (3,2), (3,3), (5,2), (5,3)}

Taking R.H.S :-

=> B x A

=> {2,3} x {1,3,5}

=> {(2,1), (2,3), (2,5), (3,1), (3,3), (3,5)}

L.H.S ≠ R.H.S

So, {A x B} ≠ {B x A}

~Hence Proved