# Why Isn't It Reducible?

**Algebra**Level 4

Let \[ A= \frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times\cdots\times \frac{2013}{2014}\] \[ B= \frac{2}{3} \times \frac{4}{5} \times \frac{6}{7} \times\cdots \times \frac{2012}{2013}\] \[ C= \frac{1}{ \sqrt{2014} } \]

Which of the following statements is true?

\( 1. A < B < C \)

\( 2. A < C < B \)

\( 3. B < A < C \)

\( 4. B < C < A \)

\( 5. C < A < B \)

\( 6. C < B < A \)

\( 7. \) Two of them are equal

\( 8. \) All of them are equal