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Is k^2 + k – 2 > 0?

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 42648

Kudos [?]: 135946 [0], given: 12716

Is k^2 + k – 2 > 0? [#permalink]

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New post 29 Oct 2017, 01:03
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

56% (01:25) correct 44% (00:58) wrong based on 32 sessions

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Kudos [?]: 135946 [0], given: 12716

Manager
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B
Joined: 21 Jun 2014
Posts: 59

Kudos [?]: 3 [0], given: 1

Re: Is k^2 + k – 2 > 0? [#permalink]

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New post 29 Oct 2017, 02:30
For expression to be positive Either K > 1 or K < -2
Option C

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Kudos [?]: 3 [0], given: 1

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D
Joined: 02 Aug 2009
Posts: 5365

Kudos [?]: 6151 [0], given: 121

Re: Is k^2 + k – 2 > 0? [#permalink]

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New post 29 Oct 2017, 03:06
Bunuel wrote:
Is k^2 + k – 2 > 0?

(1) k < 1
(2) k > –1



Hi...

Let's simplify the equation

\(k^2+k-2>0.........k^2+2k-k-2>0......k(k+2)-1(k+2)>0.....(k+2)(k-1)>0\)..
So both k+2 and k-1 should be of same SIGN..
So a)k between -2 and 1 will give us and NO
b) K<-2 and k>1 will give us and YES

Let's see the statements..
1) k<1...
It will give us falling in both above ranges, so ans can be yes or no
Insufficient
2) k>-1
Same as above
K=0 will give us no
K=5 will give YES
Insufficient

Combined
-1<k<1
This range falls within (a) above
ANS is always NO
Sufficient

C
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6151 [0], given: 121

Re: Is k^2 + k – 2 > 0?   [#permalink] 29 Oct 2017, 03:06
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Is k^2 + k – 2 > 0?

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