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GMATPrep -Inequality DS

Expert replies
Source: — Data Sufficiency |

by [email protected] » Fri Feb 16, 2018 4:50 pm
Hi Mo2men,

We're told that (A)(X) + B = 0. We're asked if X is greater than 0. This is a YES/NO question. This question can be solved by TESTing VALUES

From the given equation, we have a few possibilities to consider:
A and B are both 0
X and B are both 0
All 3 variables are 0
(A)(X) = -B

1) (A + B) > 0

IF...
A=1, B=0 and X=0 then the answer to the question is NO.
A=1, B= -1/2 and X=1/2 then the answer to the question is YES.
Fact 1 is INSUFFICIENT

2) (A - B) > 0

IF...
A=1, B=0 and X=0 then the answer to the question is NO.
A=1, B= -1/2 and X=1/2 then the answer to the question is YES.
Fact 2 is INSUFFICIENT

Combined, we already have 2 values that 'fit' both Facts (and product different answers - one "NO" and one "YES").
Combined, INSUFFICIENT

Final Answer: E

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