Define a subset A that is a subset the of Real Numbers that satisfies

1) 1 is an element of A

2) if n is an element of A then n+1 is an element of A

yet for which R sub >0 is not a subset of A.

I can't quite see how to

use induction in this problem, although I am fairly sure induction

should be used. Also I am confused as to how since it is given that 1

is in the set A then how can R sub >0 not be a subset of A?

If A is a subset of the reals then it can contain any positive or

negative number. We know 1 is an element of A....

Help would be appreciated!