IMO B
√(x-3)² = x-3 when x-3>=0
=3-x when x-3<0
A) not sufficient
B)–x|x|=0, so x must be negative
B is suffiecient
GMATprep: absolute value - I scare the most
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tohellandback
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rah_pandey
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x not equal to 3 => answer is not zero and so a conscious decision has to be made to either put answer as x-3 or 3-x
√(x-3)² = +/-(x-3)
in second condition it is given
-x|x|>0
since |x|>0 always
therefore -x>0
=> x<0
now
let x=-k where k>0
√(-k-3)² =k+3 (here we are not taking -ve value as by convention √X=> positive root.
=3-x (replace k by -x)
B is sufficient
√(x-3)² = +/-(x-3)
in second condition it is given
-x|x|>0
since |x|>0 always
therefore -x>0
=> x<0
now
let x=-k where k>0
√(-k-3)² =k+3 (here we are not taking -ve value as by convention √X=> positive root.
=3-x (replace k by -x)
B is sufficient
