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# Is -3<x<4?

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Math Revolution GMAT Instructor
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14 Feb 2017, 00:17
00:00

Difficulty:

15% (low)

Question Stats:

82% (00:38) correct 18% (00:51) wrong based on 55 sessions

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Is -3<x<4?

1) -2<x<3
2) -4<x<4

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Updated on: 14 Feb 2017, 01:19
Option a: could be -1.9 to 2.9 So sufficient
Option b : could be -3 . So insufficient
Option c : no extra information
Option d : no
Option e: no

Sent from my iPhone using GMAT Club Forum

Originally posted by abhi240188 on 14 Feb 2017, 00:57.
Last edited by abhi240188 on 14 Feb 2017, 01:19, edited 1 time in total.
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14 Feb 2017, 01:13
MathRevolution wrote:
Is -3<x<4?

1) -2<x<3
2) -4<x<4

1. x should be between -1.9 to 2.9(inclusive) , so it lies between -3 and 4
2. x can be -3.9 that lie out side and can be 1 that lie inside the range , so insuff.

So A. suff.
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14 Feb 2017, 08:56
1
The easiest way to solve this problem, for me at least, is to create a visual. Draw and mark the ranges and you will see that Statement 1 lies within the range of the condition. Therefore, A is the answer.
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15 Feb 2017, 15:21
1
MathRevolution wrote:
Is -3<x<4?

1) -2<x<3
2) -4<x<4

We need to determine whether -3 < x < 4.

Statement One Alone:

-2 < x < 3

Since x is greater than -2 and less than 3, it must be between -3 and 4. Statement one alone is sufficient to answer the question.

Statement Two Alone:

-4 < x < 4

Statement two alone is not sufficient to answer the question. For instance, if x = -3.5, it’s not between -3 and 4; however if x = 0, it is between -3 and 4.

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18 Feb 2017, 07:00
==> In the original condition, there is 1 variable (x) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), it is always yes, hence it is sufficient. For con 2), x=0 yes, but x=-3.5 no, hence it is not sufficient.

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Re: Is -3<x<4? &nbs [#permalink] 18 Feb 2017, 07:00
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