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# Using a System of Relationships to Test an Inequalitiy

GMAT-DETYGY

Given that $a$ nor $b$ is equal to $0$ and

(1) $|a|=-b$
(2) $b>-a$

What is necessary to determine if $\cfrac{a}{b}< \cfrac{b}{a}$ is a true statement?

A

Statement (1) ALONE is sufficient to answer the question, but statement (2) ALONE is not.

B

Statement (2) ALONE is sufficient to answer the question, but statement (1) ALONE is not.

C

Statement (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

D

EITHER statement ALONE is sufficient to answer the question.

E

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked - more relevant data is required.