x + y

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Source: — Data Sufficiency |

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by akondakar » Thu May 20, 2010 9:21 pm
colakumarfanta wrote:Is x + y <0
1) x ^ 2-y ^ 2> 0
2) x-y <0
My answer is C
The statement alone is not sufficient because you don't know the sign of these variables
Try solving by both statement. first before solving try to paraphrase :

Statement 1) x^2 - y^2 > 0 equivalent to (x+1)(x-1) > 0, is it true only if both (x+1) and (x-1) are greater or less than 0
Since statement 2) tell us (x-y) < 0 therefore (x+1) is also < 0

Waiting for the official answer.