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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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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
_________________

Scott Woodbury-Stewart Founder and CEO

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

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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You have to have the darkness for the dawn to come.

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