I know that 2 countable infinities are considered equal because you can pair each element in one set two an element in another one. But, for example, if we let all real numbers between 3 and 5 be equal to A, and all real numbers between 2 and 6 be equal to B, do we consider
B = A or B > A ?
I wasn't able to find the answer to this question anywhere, I'd really appreciate your help.
The function $x\mapsto2x-4$ is a bijection between $[3,5]$ and $[2,6]$ hence these sets are equipotent (loosely speaking, they have the same size).