Find all r ∈ R such that r<1+1/r?

So I'm having difficulty with this problem.

I've figured out that r is a variable and r does not = 0 and by solving it, multiplying both sides by r is incorrect.

Can you guys help me with this problem?

My first instinct is to just multiply both sides by r but that's apparently wrong.

Any help is appreciated.

I got some help elsewhere. Thanks though.