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If x > 0 and |x| = 1/x, then x =

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If x > 0 and |x| = 1/x, then x = [#permalink]

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New post 24 Jun 2017, 07:02
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Expert Post
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Re: If x > 0 and |x| = 1/x, then x = [#permalink]

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New post 13 Jul 2017, 08:25
Bunuel wrote:
If \(x > 0\) and \(|x| = \frac{1}{x}\), then x =

(A) –1
(B) 0
(C) 1
(D) 2
(E) 3



Hi..
x>0... Just important to know that x is NOT EQUAL to 0 or may be not required at all as this is also conveyed by second INEQUALITY

\(|x|=\frac{1}{x}\)...
This tells us that x is POSITIVE.
Which Number has its reciprocal EQUAL to itself .. 1 or -1..
But x is positive so answer is 1

C
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


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If x > 0 and |x| = 1/x, then x = [#permalink]

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New post 14 Jul 2017, 07:37
chetan2u wrote:
Bunuel wrote:
If \(x > 0\) and \(|x| = \frac{1}{x}\), then x =

(A) –1
(B) 0
(C) 1
(D) 2
(E) 3

Hi..
x>0... Just important to know that x is NOT EQUAL to 0 or may be not required at all as this is also conveyed by second INEQUALITY

\(|x|=\frac{1}{x}\)...
This tells us that x is POSITIVE.
Which Number has its reciprocal EQUAL to itself .. 1 or -1..
But x is positive so answer is 1

C

I'm trying to understand, unsuccessfully so far, that which you stress.

If x > 0, x is not 0.

Given the fraction involved, where by definition we cannot divide by 0, x is not 0.

Or are you saying that there is no such thing as |0| = \(\frac{0}{1}\)?(That is, that the variable x inside the absolute value brackets cannot be 0 irrespective of what is on the other side of the inequality?)

I'm trying to figure out what mistake you're trying to prevent from being made. I'm sure you make an important point. Please explain?
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Re: If x > 0 and |x| = 1/x, then x = [#permalink]

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New post 02 Oct 2017, 23:49
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Bunuel wrote:
If \(x > 0\) and \(|x| = \frac{1}{x}\), then x =

(A) –1
(B) 0
(C) 1
(D) 2
(E) 3


Here is how I solved the problem

|x| = \(\frac{1}{x}\) => |x|*x=1

since x>0

\(x^2=1\)

=> x=1 (or) -1

since x>0, we have the answer as x=1. Ans C
Re: If x > 0 and |x| = 1/x, then x =   [#permalink] 02 Oct 2017, 23:49
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If x > 0 and |x| = 1/x, then x =

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