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

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

**Video Explanation**