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If x is a negative integer and 2 < x^2 < 36, what is the least possibl

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If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

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New post 23 Apr 2018, 22:48
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

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New post 23 Apr 2018, 23:21
What am I missing here?
Since x is a neg integer, possible values for x are: -2,-3,-4,-5
Least value for |2x - 11|: |2*(-2) - 11|= 15

DavidTutorexamPAL , where did your post go? :D
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

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New post Updated on: 23 Apr 2018, 23:36
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


Bunuel
Given that x is negative, 2x is negative and |2x - 11| is larger than 11...
Is there an error in the question?


EDIT:

As we're asked for the least possible value, we'll start from the smallest answer and work our way up.
This is an Alternative approach.

If (E) were true, than |2x + 11| = 0 meaning that 2x = -11 --> x is not a negative integer.
If (D) were true, than |2x + 11| = 1 meaning that 2x = 1+11 = 12 --> x is not negative or 2x = 1 - 11 = -10 and x = -5.
In this case x^2 = 25 so 2 < x^2 < 36 as required.

(D) must be our answer.
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Originally posted by DavidTutorexamPAL on 23 Apr 2018, 23:24.
Last edited by DavidTutorexamPAL on 23 Apr 2018, 23:36, edited 1 time in total.
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

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New post 23 Apr 2018, 23:25
benejo wrote:
What am I missing here?
Since x is a neg integer, possible values for x are: -2,-3,-4,-5
Least value for |2x - 11|: |2*(-2) - 11|= 15

DavidTutorexamPAL , where did your post go? :D


I posted before finishing to write by accident...
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

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New post 23 Apr 2018, 23:29
DavidTutorexamPAL wrote:
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


Bunuel
Given that x is negative, 2x is negative and |2x - 11| is larger than 11...
Is there an error in the question?


Yes, sorry about that. It's |2x + 11|, not |2x - 11|. Edited. Thank you.
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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

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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]

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New post 25 Apr 2018, 13:59
1
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]

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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]

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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]

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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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Re: If x is a negative integer and 2 < x^2 < 36, what is the least possibl  [#permalink]

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New post 24 Dec 2018, 03:42
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