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What is the value of |x| ?

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Senior Manager
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Re: What is the value of |x| ? [#permalink] New post 24 Oct 2011, 13:03
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
Senior Manager
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Re: What is the value of |x| ? [#permalink] New post 24 Oct 2011, 14:41
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] New post 24 Oct 2011, 16:58
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.
Re: What is the value of |x| ?   [#permalink] 24 Oct 2011, 16:58
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