GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 27 Jan 2020, 01:21

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Is x > y? (1) |x| > y. (2) x + y > 0.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60657
Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

24 Jul 2017, 23:27
00:00

Difficulty:

65% (hard)

Question Stats:

56% (01:48) correct 44% (01:34) wrong based on 139 sessions

### HideShow timer Statistics

Is x > y?

(1) |x| > y .
(2) x + y > 0.

_________________
SVP
Joined: 26 Mar 2013
Posts: 2344
Concentration: Operations, Strategy
Schools: Erasmus '21 (M\$)
Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

26 Jul 2017, 15:12
2
1
Is x > y?

(1) |x| > y

Let x = 10 & y = 1...........Answer is Yes

Let x = -10 & y =1...........Answer is No

Insufficient

(2) x + y > 0

Case 1: Let x = 10 & y = 1...........Answer is Yes

Case 2: Let x = 10 & y = -1...........Answer is Yes

Case 3: Let x = 1 & y = 10...........Answer is No

Case 4: Let x = -1 & y = 10...........Answer is No

Insufficient

Combining 1 & 2

|x| - y > 0

x + y > 0
----------------- Sum both inequalities as both are in same direction

x + |x| >0 ........The only way to prove this inequality is that x is POSITIVE. If x is negative then result is zero which is invalid.

x > 0 & |x| > y ...........then x > y

Another Approach:

Combine 1 & 2 together.

We need to match cases from Statement 2 that fit into Statement 1

Case 3 & 4 are NOT valid.

Case 1 & 2 are valid

based on above x > y

Current Student
Joined: 18 Aug 2016
Posts: 592
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

25 Jul 2017, 01:47
1
Bunuel wrote:
Is x > y?

(1) |x| > y .
(2) x + y > 0.

(1) if x>0 then x>y
if x<0 then x>-y
Insufficient

(2) x>-y insufficient

on combining we get x>-y..insufficient

Hence E
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Intern
Joined: 27 May 2017
Posts: 12
Re: Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

25 Jul 2017, 01:12
St 1. x >y or x < - y NS

St 2 x > - y NS

Ans E

Sent from my SM-G935F using GMAT Club Forum mobile app
Intern
Joined: 16 Apr 2017
Posts: 43
Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

25 Jul 2017, 09:02
Bunuel wrote:
Is x > y?

(1) |x| > y .
(2) x + y > 0.

1) x>y (when x>0) and x<-y when (x<0).....Insufficient
2) x>-y, Clearly insufficient

Combining we get x > y answer C
Intern
Joined: 06 Feb 2016
Posts: 46
Location: Poland
Concentration: Finance, Accounting
GMAT 1: 730 Q49 V41
GPA: 3.5
Re: Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

25 Jul 2017, 14:16
mynamegoeson wrote:
Bunuel wrote:
Is x > y?

(1) |x| > y .
(2) x + y > 0.

(1) if x>0 then x>y
if x<0 then x>-y
Insufficient

(2) x>-y insufficient

on combining we get x>-y..insufficient

Hence E

Why do we get x>-y not x>y?
Current Student
Joined: 11 May 2015
Posts: 34
Location: United States
Concentration: Strategy, Operations
GPA: 3.44
Re: Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

26 Jul 2017, 15:50
Bunuel wrote:
Is x > y?

(1) |x| > y .
(2) x + y > 0.

St 1: Insuff
6,3 - Yes
-6,3 - No

St 2: Insuff
-2,4 - No
4,-2 - Yes

Combining Yes & Yes - Suff
Senior Manager
Joined: 15 Jan 2017
Posts: 324
Re: Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

28 Jul 2017, 10:59
For me its E
is x> y?

1) |x| >y
so two cases: a) x > y b) x< -y Not suff
2) x + y> 0
x> - y
Not suff

1) + 2): we have 3 equations --> x> y; x < -y; x> -y So both not suff. So E
OA and OE awaited!
Intern
Joined: 08 Feb 2015
Posts: 22
Re: Is x > y? (1) |x| >  [#permalink]

### Show Tags

31 Jul 2017, 06:15
For me its E
is x> y?

1) |x| >y
so two cases: a) x > y b) x< -y Not suff
2) x + y> 0
x> - y
Not suff

1) + 2): we have 3 equations --> x> y; x < -y; x> -y So both not suff. So E
OA and OE awaited!

x> y; x < -y; x> -y. x>y is as good as x>-y

So x>y, hence C
Senior Manager
Joined: 02 Apr 2014
Posts: 460
Location: India
Schools: XLRI"20
GMAT 1: 700 Q50 V34
GPA: 3.5
Is x > y? (1) |x| > y. (2) x + y > 0.  [#permalink]

### Show Tags

13 Dec 2017, 14:16
$$x > y$$ ?

Statement 1: $$|x| > y$$ ?
Insufficient
case 1: x = -16, y = 8
case 2: x = 16, y = 8

Statement 2: $$x + y > 0$$
InSufficient
case 1: x = 3, y = 2
case 2: x = 2, y = 3

(1) + (2)

adding two inequalities, $$x + |x| + y > y$$ => $$x + |x| > 0$$ => x is positive
since x is positive => statement 1 : $$|x| > y$$ => $$x > y$$ => answers our question => (C)
Is x > y? (1) |x| > y. (2) x + y > 0.   [#permalink] 13 Dec 2017, 14:16
Display posts from previous: Sort by