Q) Is xy > 0
1) x - y > -2
2) x - 2y < -6
Please Help
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- selango
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xy>0?
stmt1,
x-y>-2
x=3,y=2,xy>0
x=3,y=-1,xy<0
Insuff
stmt2,
x-2y<-6
x=2,y=5,xy>0
x=-4,y=2,xy<0
Insuff
Combining 1 and 2,
x-y>-2 or 2x-2y>-4
x-2y<-6 or 2y-x>6
y>4 and x>2
xy>0
Suff
Pick C
stmt1,
x-y>-2
x=3,y=2,xy>0
x=3,y=-1,xy<0
Insuff
stmt2,
x-2y<-6
x=2,y=5,xy>0
x=-4,y=2,xy<0
Insuff
Combining 1 and 2,
x-y>-2 or 2x-2y>-4
x-2y<-6 or 2y-x>6
y>4 and x>2
xy>0
Suff
Pick C
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is the OA (c) ??pushkin1982 wrote:Q) Is xy > 0
1) x - y > -2
2) x - 2y < -6
Please Help
Each statement alone is clearly insufficient....I was thinking about the two statements together....
x-y > -2 => x > -2 + y
x-2y < -6 => x < -6 + 2y
if y = 6 ,
x > -2+6 and x < -6+12
i.e. x > 4 and x < 6
in this case xy>0
if y = -6
x > -2-6 and x <-6-12
i.e x > -8 and x < -18
so here x can positive or negative...which would change the result of xy > 0 ?
SO....I would've picked (E).... Am I missing something here ??