Hello,

I picked up this question from the manhattan flashcards, topic positives and negatives.

Is the statement sufficient?

Is x < 0?

1)

xy2 < 0 (Read as X*Y to the power of 2, ==> only y is squared)

The answer provided is that Statement1 is sufficient. since in the flashcards only 1 statement was given.

Explanation in flashcards :

"Any number, except for 0, raised to an even power will be

positive. If y were 0, the inequality would not be true, so we

know that y2, regardless of the sign of y, will be positive. For

xy2 to be less than zero, that means that x must be negative.

The statement is sufficient.""

But i feel it is not sufficient.

My reasons:

1. Lets test values, X = 0. then 0 < 0 ==> So not suffiicient. No condition is provided either in statement or option that it X <> 0 .

2. Lets text values for Y = 0 , then again 0 < 0 ==> so not sufficient. No condition is provided either in statement or option that it Y <> 0 .

So i feel that the statement is not sufficient. I understand the concept of negative value and also when the value will be < 0. Just was curious to know if my analysis is right. No need of explaning me the concept, i already know it.

Regards,

Mustu

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