# Math Formulas, Practice, Tests, Forums, Free Help

#### What is new:

Numerical experiments indicate that the inequality 1 < $\frac{(ab-1)(bc-1)(ca-1)}{(a^{2 }-1)( b^{2 }-1)( c^{2 }-1)}$ < $\frac{9}{8}$ appears to be true when $3 \le a < b < c$.
Is there an easy proof? Or is it a hard Olympiad type problem?

#### Website Info

The website was created in September 2005.

It is visited by 25,000 - 35,000 people daily, mostly from USA, Bulgaria, Russia, India, Philippines, Ukraine, Serbia...

In 2011 was created a Russian version, and in 2015 Serbian.

It is visited by 25,000 - 35,000 people daily, mostly from USA, Bulgaria, Russia, India, Philippines, Ukraine, Serbia...

In 2011 was created a Russian version, and in 2015 Serbian.