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# Need help with PS question number 229 solution OG 2017

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Intern
Joined: 09 Sep 2015
Posts: 3

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Need help with PS question number 229 solution OG 2017 [#permalink]

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20 Aug 2017, 08:33
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Is there a shorter solution for this problem? The solution given in OG is quite lengthy and I am scared the time for it won't be sufficient if it comes in the exam.

How many integers that satisfy the inequality $$\frac{(x+2)(x+3)}{(x-2)} >= 0$$

A) 1
B) 2
C) 3
D) 4
E) 5

Kudos [?]: [0], given: 2

Manager
Joined: 02 Nov 2015
Posts: 176

Kudos [?]: 21 [0], given: 121

GMAT 1: 640 Q49 V29
Re: Need help with PS question number 229 solution OG 2017 [#permalink]

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20 Aug 2017, 08:51
Hi Disha,
I feel either your question is incomplete or the right options are not there.
Because the number of solutions of the problem will be infinite ..
So the solutions are -3,-2 and all positive integers greater than 2.

Infact you can put te aforementioned numbers and the solutions will fulfill the requirement.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app

Kudos [?]: 21 [0], given: 121

Manager
Joined: 29 Mar 2011
Posts: 88

Kudos [?]: 60 [0], given: 8

Location: India
Concentration: Strategy, Finance
GMAT 1: 750 Q50 V40
WE: Management Consulting (Consulting)
Re: Need help with PS question number 229 solution OG 2017 [#permalink]

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20 Aug 2017, 23:40
Is there a shorter solution for this problem? The solution given in OG is quite lengthy and I am scared the time for it won't be sufficient if it comes in the exam.

How many integers that satisfy the inequality $$\frac{(x+2)(x+3)}{(x-2)} >= 0$$

A) 1
B) 2
C) 3
D) 4
E) 5

That is not the full question. The question is

How many of the integers that satisfy the inequality (x+2)(x+3)/(x-2) >= 0 are less than 5?

A) 1
B) 2
C) 3
D) 4
E) 5

And the answer is indeed D. The integers are -2, -3, 3 and 4.
_________________

+1 kudos if you find this useful
GMAT 1: 750 (Q50; V40; IR 8; AWA 5.5)
Debrief: https://gmatclub.com/forum/first-attempt-750-q50-v40-ir-8-awa-245721.html

Kudos [?]: 60 [0], given: 8

Math Expert
Joined: 02 Sep 2009
Posts: 41660

Kudos [?]: 124320 [0], given: 12077

Re: Need help with PS question number 229 solution OG 2017 [#permalink]

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20 Aug 2017, 23:56
Is there a shorter solution for this problem? The solution given in OG is quite lengthy and I am scared the time for it won't be sufficient if it comes in the exam.

How many integers that satisfy the inequality $$\frac{(x+2)(x+3)}{(x-2)} >= 0$$

A) 1
B) 2
C) 3
D) 4
E) 5

Discussed here: https://gmatclub.com/forum/how-many-of- ... 34194.html
_________________

Kudos [?]: 124320 [0], given: 12077

Re: Need help with PS question number 229 solution OG 2017   [#permalink] 20 Aug 2017, 23:56
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