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07 May 2010, 22:05
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
59% (01:47) correct
41%
(01:41)
wrong
based on 2227
sessions
History
Date
Time
Result
Not Attempted Yet
If x + y > 0, is x > |y|?
(1) x > y
(2) y < 0
(1) x > y
(2) y < 0
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
08 Apr 2011, 05:58
Kudos
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If x + y >0, is x > |y|?
(1) x > y
(2) y < 0
Please help me with approach. I am having tough time with inequality. What is the better way to solve such questions? Picking number or doing algebraically?
Here how i attempted this:
Given: x+y > 0 , x > -y
To prove: x > |y|
Stmt1: x > y. Now |y| = +y when y > 0 and |y| = -y when y < 0. As can be seen, x > +y and x > -y. Hence x > |y|. Sufficient.
Stmt2: y < 0. |y| = -y . So is x > -y? From what is given, x > -y. Sufficient.
Ans: D.
(1) x > y
(2) y < 0
Please help me with approach. I am having tough time with inequality. What is the better way to solve such questions? Picking number or doing algebraically?
Here how i attempted this:
Given: x+y > 0 , x > -y
To prove: x > |y|
Stmt1: x > y. Now |y| = +y when y > 0 and |y| = -y when y < 0. As can be seen, x > +y and x > -y. Hence x > |y|. Sufficient.
Stmt2: y < 0. |y| = -y . So is x > -y? From what is given, x > -y. Sufficient.
Ans: D.
08 Apr 2011, 06:43
Kudos
Bookmarks
If x + y > 0, is x > |y|?
So, we need to determine whether x > y is true.
(1) x > y. Directly answers our rephrased question. Sufficient.
(2) y < 0. This mean that |y| = -y. So, the question becomes:
This is given to be true in the stem. Sufficient.
Answer: D.
- If \(y \geq 0\), then the question becomes is x > y?
If \(y < 0\), then the question becomes is x > - y? This is given to be true in the stem!
So, we need to determine whether x > y is true.
(1) x > y. Directly answers our rephrased question. Sufficient.
(2) y < 0. This mean that |y| = -y. So, the question becomes:
- Is x > -y?
Is x + y > 0?
This is given to be true in the stem. Sufficient.
Answer: D.
