if $\displaystyle (x/(x-1)) \leq 2 $, then $\displaystyle x < 1$or $\displaystyle x \geq 2$.

Im not sure how to prove this.

I tried this method here from the user xalk, but it didnt seem to work for this question even though this one is similar.

http://www.mathhelpforum.com/math-he...gic-proof.html