Show that the given set has a cardinality of ℵ0 by establishing a one-to-one correspondence between the elements of the given set and the elements of N.
{ 48, 49, 50, 51, , n + 47,}
Let N = {1, 2, 3, , n,}
Then a one-to-one correspondence between the given set and the set of natural numbers N is given by the following general correspondence.
( ) ↔ (n)