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rainbownlife
- Senior | Next Rank: 100 Posts
- Posts: 37
- Joined: Tue Jan 29, 2008 12:02 pm
anybody?
I am looking for approach to solve such problems with roots and equations/inequalities.
thanks in advance!
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GMATPrep question - absolute value
Source: Beat The GMAT — Problem Solving |
square root of a^2 = a or -a
similarly square root of (x-3)^2 = x-3 or -(x-3) [or 3-x]. Thus this eqn will not hold true for any value of x.
Hence the answer is E.
-AN[/list]
similarly square root of (x-3)^2 = x-3 or -(x-3) [or 3-x]. Thus this eqn will not hold true for any value of x.
Hence the answer is E.
-AN[/list]
sq.root of (x-3)^2 = sq.root of (x-3)(x-3) = (x-3)
So, we can rephrase the question as :
Is (x-3) = (3-x)
=> 2x = 6
or Is x=3?
Statement 1: x not equal to 3.
Therefore Stmt. 1 is sufficient
Statement 2: -x|x|>0.
This does not tell whether x=3.
Therefore answer is A.
So, we can rephrase the question as :
Is (x-3) = (3-x)
=> 2x = 6
or Is x=3?
Statement 1: x not equal to 3.
Therefore Stmt. 1 is sufficient
Statement 2: -x|x|>0.
This does not tell whether x=3.
Therefore answer is A.
