as i know that two infinite sets are equal in size if there is a correspondence between them
suppose N={1,2,3..........} --set of natural numbers
E={2,4,6............} --set of even natural numbers
A={0,2,4,...........} -- set of even numbers >=0
by using cantoor's method wehave a correspondence between E and N so we can say taht N and E are of same size
now as i m able to think N and A wiil not be of equal size bcoz A={0} U E
so my doubt is that is my approach and answer both are right r not ??