Alessiod
Is the integer m a negative number?
1. m^5 - m < 0
(second part I got it right)
Answer said that 1) was sufficient, but I disagree.
For whatever negative m you pick, it will be true that m^5 - m < 0. I'm fine with it.
But what if m = -1 ?
In this case, the result would be 0 < 0, so 1) would not be sufficient.
Any tips? I really cannot see my error, it seems obvious to me that if m = -1, we would have -1+1=0.
Source: Optimus Prep test. Difficulty: Difficult
Dear
Alessiod,
I'm happy to respond.
My friend, I think you still need to clarify a bit about the logic of GMAT Data Sufficiency. Here's a post you might find helpful.
GMAT Data Sufficiency TipsYou see, the question in DS is always whether the statement is sufficient to prove that the answer to the prompt question is a definitive "yes" or a definitive "no." When a variable is given in the prompt, if every permitted value of the variable produces the same answer to the prompt question, then that's sufficient information.
Here, all that matters is that, for all integers m that satisfy this inequality, it's true that m is a negative integer.
The fact that there happens to be a negative integer that doesn't satisfy the inequality is 100% irrelevant. The question strictly is: for the set of all integers that do satisfy the inequality, can we determine a unique answer to the prompt. When considering the sufficiency of the statement, only values that meet the condition given in that condition matter; other values are irrelevant. Is it the statement that provides confirmation of the prompt.
In a way, you are trying to use a "yes" answer to the prompt to confirm the statement. That's backwards logic.
Does all this make sense?
Mike
Mike