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. :/