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Need help with PS question number 229 solution OG 2017

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

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New post 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

(Correct answer is D).

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

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New post 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.



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

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New post 20 Aug 2017, 23:40
dishadesai wrote:
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

(Correct answer is D).

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

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New post 20 Aug 2017, 23:56
dishadesai wrote:
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

(Correct answer is D).


Discussed here: https://gmatclub.com/forum/how-many-of- ... 34194.html
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Re: Need help with PS question number 229 solution OG 2017   [#permalink] 20 Aug 2017, 23:56
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