show that the set N 45 is denumerable I know that N is a bi

show that the set N - {4,5} is denumerable. I know that N is a bijection so it can be denumerable but not sure how to get around the subtraction.

By the definition, An infinite set is denumerable if it is equivalent to the set of natural numbers.

The set of all natural numbers N is denumerable.

Then N-{4,5}=1,2,3,6,7,... is an infinite set, then the set is also an infinite set

Hence it is denumerable