Is Sqrt(x-3)^2 = 3 - x?
1) x does not equal 3
2) -x|x|
Please explain how to find statement 1 insufficient. Thanks in advance.
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Is the statement 2 complete?
The question asks is
sqrt(x-3)^2 = 3-x
i.e,is |x-3|=3-x?
sqrt(x^2)=|x|
Statement 1
-----------
x not eq 3
x=2,then |x-3|=3-x
x=4,then |x-3|not equal to 3-x
Hence Insufficient.
The question asks is
sqrt(x-3)^2 = 3-x
i.e,is |x-3|=3-x?
sqrt(x^2)=|x|
Statement 1
-----------
x not eq 3
x=2,then |x-3|=3-x
x=4,then |x-3|not equal to 3-x
Hence Insufficient.
I'm sorry. Statement 2 is incomplete: -x|x| > 0.
Also, Sanjana, I don't know if you've stopped watching this topic but please take a look at this (https://www.beatthegmat.com/percent-prob ... tml#198038) as I am still having problems with it. Thanks.
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Also, Sanjana, I don't know if you've stopped watching this topic but please take a look at this (https://www.beatthegmat.com/percent-prob ... tml#198038) as I am still having problems with it. Thanks.
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- Master | Next Rank: 500 Posts
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IMO B
the question reworded (since square root of a number is always >0): |x-3| = 3 - x?
if x-3 >0; x>3
if x-3 <0; x<3
1) insuff since it doesnt tell us if x>3 or x<3
2) suff since it tells us x<0 in which case it is <3
the question reworded (since square root of a number is always >0): |x-3| = 3 - x?
if x-3 >0; x>3
if x-3 <0; x<3
1) insuff since it doesnt tell us if x>3 or x<3
2) suff since it tells us x<0 in which case it is <3