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DS: Is sqrt((x-3)^2) = 3-x?

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Intern
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Joined: 02 May 2018
Posts: 2
DS: Is sqrt((x-3)^2) = 3-x?  [#permalink]

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New post 06 Oct 2018, 17:54
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A
B
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D
E

Difficulty:

  35% (medium)

Question Stats:

100% (01:01) correct 0% (00:00) wrong based on 5 sessions

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Is the sqrt((x-3)^2) = 3-x:

1) x not equal to 3
2) -x*abs(x) > 0


Really stuck on that 2nd statement - can anyone break it down for me please? Much appreciated.

The answer is B.
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Joined: 02 Aug 2009
Posts: 6979
Re: DS: Is sqrt((x-3)^2) = 3-x?  [#permalink]

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New post 06 Oct 2018, 20:02
niravchit wrote:
Is the sqrt((x-3)^2) = 3-x:

1) x not equal to 3
2) -x*abs(x) > 0


Really stuck on that 2nd statement - can anyone break it down for me please? Much appreciated.

The answer is B.


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Discussed here
https://gmatclub.com/forum/is-sqrt-x-3-2-3-x-62992.html

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: DS: Is sqrt((x-3)^2) = 3-x? &nbs [#permalink] 06 Oct 2018, 20:02
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DS: Is sqrt((x-3)^2) = 3-x?

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