The question can be rephrased as follows
if x > 0, is x = y - z ?
or
if x < 0, is x = z -y or x + y = z??
So clearly using both 1) and 2), thats what you arrive at
Hence C)
Probably someone can provide a better and simpler explanation ...
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GMATPrep Q7
Source: Beat The GMAT — Data Sufficiency |
Hope I got this right!
Q: Is |x| = y-z
Stmt I and II are individually insufficient
Together
From stmt I we know x = z-y
x = - ( y-z)
So the only way |x| = y-z is if
- ( y-z) = y-z
i.e y = z and x=0
But from stmt II we know x<0 and therefore cannot be 0
Hence |x| will never be equal to y-z
Choose C)
Q: Is |x| = y-z
Stmt I and II are individually insufficient
Together
From stmt I we know x = z-y
x = - ( y-z)
So the only way |x| = y-z is if
- ( y-z) = y-z
i.e y = z and x=0
But from stmt II we know x<0 and therefore cannot be 0
Hence |x| will never be equal to y-z
Choose C)
Check this link for good discussion and Stuart's explanation
https://www.beatthegmat.com/ds-practice- ... 17422.html
https://www.beatthegmat.com/ds-practice- ... 17422.html
