gmat prep

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gmat prep

by grandh01 » Wed Jul 25, 2012 3:40 pm
If K cannot equal 0,1, or -1, is 1/k greater than 0?

1) 1/k-1 >0
2) 1/k+1 >0

I don't understand the question, can anyone explain. Thanks in advance.
Source: — Data Sufficiency |

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by GMATGuruNY » Wed Jul 25, 2012 5:06 pm
grandh01 wrote:If K cannot equal 0,1, or -1, is 1/k greater than 0?

1) 1/(k-1) >0
2) 1/(k+1) >0

I don't understand the question, can anyone explain. Thanks in advance.
In order for 1/k to be positive, k must be positive.

Question rephrased: Is k>0?

Statement 1: 1/(k-1) > 0
In order for 1/(k-1) to be positive, k-1 must be positive.
Thus:
k-1>0
k>1
Since k>1, we know that k>0.
SUFFICIENT.

Statement 2: 1/(k+1) > 0
In order for 1/(k+1) to be positive, k+1 must be positive.
Thus:
k+1>0
k>-1
Thus, k could be negative (k = -1/2, for example) or positive (k = 2, for example).
INSUFFICIENT.

The correct answer is A.
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