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GMAT PREP- Too Many K's

Expert replies

by siddhans » Mon Jul 11, 2011 12:54 am
bbaah wrote:Since we are interested in finding out if 1/k>0, we only need to isolate 1/k on one side of the inequalities in (1) and (2).

(1) 1/k - 1 > 0

=> 1/k > 1 (adding 1 to both sides of the inequality)

anything greater than 1 will also be greater than 0.

Sufficient.

(2) 1/k + 1 > 0

=> 1/k > -1 (subtracting 1 from both sides of the inequality)

If something is greater than -1, it could be -1/2, 0 , 1, 2, ...

So we cannot tell for sure if 1/k is greater than 0 (1/k = -1/2 <0, and 1/k = 1 >0)

Not Sufficient.


Statement 1 alone is Sufficient. A
Can someone please explain how subtracting 1 from both sides in st 2 we get the below equation :


=> 1/k > -1 (subtracting 1 from both sides of the inequality)



St 2 says:

1/k+1 > 0

Therefore,

Subtracting 1 from both sides

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


What am i doing wrong here ?
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