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If x is a negative integer and 2 < x^2 < 36, what is the least possibl
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Bunuel
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If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  23 Apr 2018, 22:48
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GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the least possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0
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Bunuel
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  04 Jul 2019, 05:57
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Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the least possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0


OFFICIAL EXPLANATION:



If \(x\) is a negative integer and \(2 < x^2 < 36\), what is the least possible value of \(|2x + 11|\)?

A. 7
B. 5
C. 3
D. 1
E. 0


Notice that we are told that \(x\) is a negative integer. Thus \(x\) can be -2, -3, -4, or -5. The least value of \(|2x + 11|\) for those values of \(x\) is 1, when \(x=-5\).

If we were not told that \(x\) is a negative integer, then the least value will obviously be 0, for \(x=-5.5\).


Answer: D
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RohitGoyal1123
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  24 Apr 2018, 01:53
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the lest possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0


Least possible value of a mod function is 0

Here 0 can be attained by 2x+11 = 0 or x = -5.5, now since x^2 <36, x can't be -6

Hence at x = -5; the value of the function is |-10+11| = 1

Hence D
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  25 Apr 2018, 13:59
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Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the lest possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0


\(2 < x^2 < 36\)

X is negative integer, then \(-6 < x <-\) \(\sqrt{2}\).........It is nice to know \(\sqrt{2}=1.4\)

Then \(-6 < x <-1.4\)... x could be -5, -4, -3, -2......To make least, we need to take +11 down.......So least negative number -5

|2x + 11| = |2*-5 + 11| = |-10 + 11| = 1

Answer: D

Bunuel

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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  25 Apr 2018, 23:03
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the lest possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0



Given that x is a negative integer and and 2<x^2<36
so the values the X can take that satisfy this condition are -2, -3, -4,-5 i.e 2< (-2)^2 < 36 ; similarly for others
Substituting the values of -2, -3, -4 and -5 in |2x+11|
The lowest number would be when |2(-5) + 11| = 1
Hence D
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  04 May 2018, 17:27
So, we are given that x is negative, and that square of x is between 2 and 36. That takes us to some possible values of x, such as -2,-3,-4,-5.
In order to minimize the modulus |2x+11| output, we need to maximize the negative value inside the modulus. That said, the biggest value of x inside the modulus would be -5.

In algebra...
x = -5
|2x+11| =?

|2*(-5)+11| = |-10+11| = 1
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  10 May 2018, 02:06
2<x^2<36
X can be -2,-3,-4,-5

We need to make |2x+11| as minimum , it's minimum value is zero
For zero x need to be -5.5 which is not possible as his negative integer

Then plugging values of -2,-3,-4,-5

We get minimum value as 1 for x=-5

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Bunuel
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  24 Dec 2018, 03:42
Expert Reply
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION:



If x is a negative integer and 2 < x^2 < 36, what is the least possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0


Par of GMAT CLUB'S New Year's Quantitative Challenge Set


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CEdward
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl [#permalink] New post  21 Jan 2021, 23:11
If x is a negative integer and 2 < x^2 < 36, what is the least possible value of |2x + 11| ?

A. 7
B. 5
C. 3
D. 1
E. 0

2 < x^2 < 36 means that when -x is squared that you get one of the following:
x^2 = 4, 9, 16, or 25 ---> x = -2,-3,-4,-5

Plug in the mod and we see that -5 yields the smallest value:
|2(-5) + 11 | = 1

D.
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