Can someone please help me solve this? I have no idea how to do this. Thanks!
If y>=0, what is the value of x?
1) |x-3| >= y
2) |x-3| <= -y
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Inequalities, Absolute Value, Data sufficiency
This topic has expert replies
-
kul512
- Senior | Next Rank: 100 Posts
- Posts: 58
- Joined: Thu Sep 29, 2011 5:15 am
- Thanked: 7 times
- Followed by:1 members
- GMAT Score:740
First Statement
|X-3|>=Y
as LHS is always a positive number, so depending on the value of Y, it will create many value of X.
Insufficient
Second Statement
|X-3|<=-Y
As Y is always non-negative so -Y is always non-positive. That means |X-3| is always less than or equal to a non-positive number, which is only possible when that number is zero. i.e. Y=0. So X=3
Sufficient
Answer B.
|X-3|>=Y
as LHS is always a positive number, so depending on the value of Y, it will create many value of X.
Insufficient
Second Statement
|X-3|<=-Y
As Y is always non-negative so -Y is always non-positive. That means |X-3| is always less than or equal to a non-positive number, which is only possible when that number is zero. i.e. Y=0. So X=3
Sufficient
Answer B.
-
bharti.2010
- Senior | Next Rank: 100 Posts
- Posts: 41
- Joined: Tue Nov 15, 2011 8:06 am
Hi,
Can u please explain your solution a little more. I did not understant why in 2nd statement Y is always non -ve. I always get stuck with absolute value questions? Can you help to understand this concept?
Can u please explain your solution a little more. I did not understant why in 2nd statement Y is always non -ve. I always get stuck with absolute value questions? Can you help to understand this concept?
-
krusta80
- Master | Next Rank: 500 Posts
- Posts: 143
- Joined: Mon Mar 14, 2011 3:13 am
- Thanked: 34 times
- Followed by:5 members
Y is always non-negative because they state it in the question... y>=0bharti.2010 wrote:Hi,
Can u please explain your solution a little more. I did not understant why in 2nd statement Y is always non -ve. I always get stuck with absolute value questions? Can you help to understand this concept?
