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# m24Q30

Author Message
Manager
Joined: 26 Apr 2010
Posts: 122
Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
Followers: 2

Kudos [?]: 123 [0], given: 54

### Show Tags

25 Oct 2011, 18:16
Hello,

$$\frac{X}{|X|} < X$$. Which of the following must be true for all X?

Solution:
[Reveal] Spoiler:
$$X in (-1,0)U(1, inf)$$

Could someone kindly explain this question? Part of the solution is that X can be an element of {-1,0}? Won't this result in division by 0 and is therefore illegal?

Thanks.
_________________

I appreciate the kudos if you find this post helpful! +1

Manager
Joined: 28 Sep 2011
Posts: 52
Followers: 0

Kudos [?]: 14 [1] , given: 9

### Show Tags

25 Oct 2011, 18:23
1
KUDOS
martie11 wrote:
Hello,

$$\frac{X}{|X|} < X$$. Which of the following must be true for all X?

Solution:
[Reveal] Spoiler:
$$X in (-1,0)U(1, inf)$$

Could someone kindly explain this question? Part of the solution is that X can be an element of {-1,0}? Won't this result in division by 0 and is therefore illegal?

Thanks.

The range is non-inclusive. X must be between -1 and 0 and does not include -1 and 0.
Manager
Joined: 26 Apr 2010
Posts: 122
Concentration: Strategy, Entrepreneurship
Schools: Fuqua '14 (M)
Followers: 2

Kudos [?]: 123 [0], given: 54

### Show Tags

25 Oct 2011, 18:25
shanghaizzle wrote:
martie11 wrote:
Hello,

$$\frac{X}{|X|} < X$$. Which of the following must be true for all X?

Solution:
[Reveal] Spoiler:
$$X in (-1,0)U(1, inf)$$

Could someone kindly explain this question? Part of the solution is that X can be an element of {-1,0}? Won't this result in division by 0 and is therefore illegal?

Thanks.

The range is non-inclusive. X must be between -1 and 0 and does not include -1 and 0.

I see thanks...that wasn't clear in the solution provide.

Cheers +1.
_________________

I appreciate the kudos if you find this post helpful! +1

Re: m24Q30   [#permalink] 25 Oct 2011, 18:25
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# m24Q30

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