Hi,
From(1): x-y>-2
if x = 2, y=1 then xy=2 >0
if x = 2, y=0 then xy=0
Not sufficient
From(2): x-2y < -6
if x=2, y=5, xy =10>0
if x=-2, y=5, xy=-10<0
Not sufficient
Both(1)&(2):
x-y > -2 and 2y-x > 6
So, adding we get y>4
x>y-2
As y>4, y-2>2
So, x>y-2>2
i.e.x>2 and y>4
Product of xy is always positive
Sufficient
Hence, C
Q from GMAT Prep
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Source: Beat The GMAT — Data Sufficiency |
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a x> y+2 where x =3,1 for y=1,-10. not sufficient.
b y> (x+6)/2 hence x and y can have positive and negative values. not sufficient.
a+b y>4 hence in x-y>-2 means for y=5, x= 3. thus x,y both >0/
sufficient. C it is.
b y> (x+6)/2 hence x and y can have positive and negative values. not sufficient.
a+b y>4 hence in x-y>-2 means for y=5, x= 3. thus x,y both >0/
sufficient. C it is.
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