Yes, the statement must be true for all

and

not

, as the problem requests. But the problem mainly asks

*for which numbers * is the statement true. Of course, the statement is true if

, but clearly the statement isn't

true for those numbers. And, if I interpreted the question correctly (please correct me if I'm wrong), what is required is that I find

*all* for which the statement is true. If I could just state a portion of that, I could easily say that the statement is true for one arbitrary number, such as

, and that alone would qualify as a complete solution.

I'll be logging off now, but I'll be back later.

I've been trying to solve this problem for quite some time now. :/