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What is the value of |x| ?

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Re: What is the value of |x| ? [#permalink]

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New post 24 Oct 2011, 14:03
blink005 wrote:
siddhans wrote:
:(

Can someone explain whats wrong with this method ?


1) x = -|x|

this x = - (-x) or x = - (+x)

since |x| can be +ve pr -ve

thus

x = x or x = -x


x - x = 0 or x + x = 0

0=0 or 2x = 0

x =0.... :( :( :(


|x| can't be negative. Absolute value of a number is always non-negative.

Do you follow?

Yes, I know absolute value is always positive but I am taking out absolute value and finding x
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Re: What is the value of |x| ? [#permalink]

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New post 24 Oct 2011, 15:41
siddhans wrote:
blink005 wrote:
siddhans wrote:
:(

Can someone explain whats wrong with this method ?


1) x = -|x|

this x = - (-x) or x = - (+x)

since |x| can be +ve pr -ve

thus

x = x or x = -x


x - x = 0 or x + x = 0

0=0 or 2x = 0

x =0.... :( :( :(


|x| can't be negative. Absolute value of a number is always non-negative.

Do you follow?

Yes, I know absolute value is always positive but I am taking out absolute value and finding x


siddhans:

when you split up stm 1 into x - x = 0 or x + x = 0
x - x = 0
x=x infinite values of x...ex 0=0, -1=-1, 2=2
and
2x=0
x=0
therefore Stm1 is insufficient
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Re: What is the value of |x| ? [#permalink]

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New post 24 Oct 2011, 17:58
Oh, siddhans meant x can be +ve or -ve. You wrote it was |x| can be +ve or -ve

As arzad wrote... x=x gives infinite values and x=0 gives one value, but nothing specifies which of these conditions is to be considered.
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Re: What is the value of |x| ? [#permalink]

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Re: What is the value of |x| ? [#permalink]

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New post 14 May 2016, 06:03
siddhans wrote:
What is the value of \(|x|\) ?
(1) \(x = -|x|\)
(2) \(x^2 = 4\)



Solution:

We need to determine the absolute value of x.

Statement One Alone:

x = -|x|

If x = -|x|, then x must be negative or 0. For example, if x = -3, -3 = -|-3|. However, since we do not have an exact value for x, statement one is not sufficient. We can eliminate answer choices A and D.

Statement Two Alone:

x^2 = 4

We can simplify by taking the square root of both sides of the equation:

√x^2 = √4

|x| = 2

Since we have 2 as the value for |x|, this answers the question.

Answer: B
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Re: What is the value of |x| ? [#permalink]

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New post 18 May 2016, 11:14
siddhans wrote:
What is the value of \(|x|\) ?
(1) \(x = -|x|\)
(2) \(x^2 = 4\)

Official Guide 12 Question

GMAT Official Guide 12

Question: 1
Page: 273
Difficulty: 600

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Its a easy question

Statement 1)
x+ lxl = 0
so from this we can conclude x is either 0 or x is negative so concrete value

Statement 2)
X^2 = 4 given
so X can be 2 or -2
but in the we are asked to find the value of lxl
and the value of lxl remains positive irrespective of value of X
so B is ans
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Re: What is the value of |x| ?   [#permalink] 18 May 2016, 11:14

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