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D01-10

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D01-10  [#permalink]

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New post 14 Feb 2018, 23:57
can we take x not equal to zero for granted in such questions? If yes, then here is the simple way of solving it

1/x >-1; x>-1 {A alone is not sufficient}
1/x^5 >1/x^3; X^3 > X^5 which is possible only is X<1. { so B alone is sufficient ..Simple}
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Re: D01-10  [#permalink]

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New post 04 Mar 2018, 12:56
Hi Bunuel

I have a doubt in Statement 1 for the case x<0.

I got this,
for x<0, 1/(-x)>-1, so when we multiply by -1 and flip signs,we get 1/x<1, so x>1.

Can you please explain how you got 1+x<0 for x<0.
Please correct me. I am doing something wrong here. Is there any concept file to know more about inequalities? I was not able to find any chapter in GMATClub Maths book.
Thanks in advance.
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Re: D01-10  [#permalink]

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New post 04 Mar 2018, 13:13
1
pantera07 wrote:
Hi Bunuel

I have a doubt in Statement 1 for the case x<0.

I got this,
for x<0, 1/(-x)>-1, so when we multiply by -1 and flip signs,we get 1/x<1, so x>1.

Can you please explain how you got 1+x<0 for x<0.
Please correct me. I am doing something wrong here. Is there any concept file to know more about inequalities? I was not able to find any chapter in GMATClub Maths book.
Thanks in advance.


If x is negative, then x denotes negative quantity, no need to replace x with -x.

9. Inequalities



For more check Ultimate GMAT Quantitative Megathread



Hope it helps.
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Re: D01-10  [#permalink]

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New post 30 May 2018, 10:32
What sort of values shall we use in such type of questions?

Can you suggest Bunuel


Bunuel wrote:
Is \(x\) greater than 1?


(1) \(\frac{1}{x} \gt -1\)

(2) \(\frac{1}{x^5} \gt \frac{1}{x^3}\)

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Re: D01-10  [#permalink]

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New post 08 Sep 2018, 17:15
I didn't see this approach for Statement 2 posted yet:
- multiply both sides by x^4, which is possible because any number to an even power is positive.
- this results in: (1/x) > (x)
- plug in numbers between inf, -1, 0, 1, and inf -- I always start on the positive side, so as soon as I tried >1, I got the answer
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Re: D01-10  [#permalink]

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New post 19 Sep 2018, 04:20
This is probably elementary in nature, but why do you have to take cases A and B? x > 0 and x < 0?
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Re: D01-10 &nbs [#permalink] 19 Sep 2018, 04:20

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