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.
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
GMATPrep Help
This topic has expert replies
-
sanjana
- Master | Next Rank: 500 Posts
- Posts: 182
- Joined: Sun Aug 02, 2009 7:19 pm
- Thanked: 18 times
- GMAT Score:680
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.
[/url]
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.
[/url]
-
life is a test
- Master | Next Rank: 500 Posts
- Posts: 138
- Joined: Mon Mar 02, 2009 12:02 pm
- Thanked: 15 times
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
