GMAT Data Sufficiency Question 35: Algebraic Inequalities

 
The following GMAT data sufficiency question tests your understanding of algebraic inequalities tested on the GMAT.

Question 35:

Given $y^2>1$, is $xy>0$ ?

1. (1) $\dfrac{x}{1 \; – \left(\dfrac{x-1}{x}\right) } > 1$
2. (2) $x^2+y^2=2xy$

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.