Please explain why the answer is E????
OA: y<-1/2*x+3
But if x=5, y =2, 2<-1/2*5+3 => 2<0.5 doesn't make sense!
GMATprep: all points (x,y) that lie below
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Last edited by nhai2003 on Sun Jul 12, 2009 2:02 pm, edited 1 time in total.
Thanks I have attached new filereal2008 wrote:pl check your attached file....something wrong...nhai2003 wrote:Please explain why the answer is E????
OA: y<-1/2*x+3
But if x=5, y =2, 2<-1/2*5+3 => 2<0.5 doesn't make sense!
Guys Please Help Me!
from the graph you may find x axis intercept is (a) 6 and for Y axis (b) is 3.
If these two intercepts are known, the eqn can be written in this form
x/a + y/b = 1
Now,
x/6 + y/3 = 1
rearranging,
y= 3- x/2 (first form)
x+2y-6=0 (second form)
now as the mentioned point lies below the line , i.e. to the side where origin also lies, then the expression x+2y-6 for a point lying below the line [say (1,1)] will have same polarity as the expression for (0,0) has.
so for (0,0) the expression x+2y-6= -6
[for (1,1) the expression x+2y-6= -3]
that means x+2y-6<0
or, 2y<6-x
or, y<3-x/2
i.e choice E
HTH
If these two intercepts are known, the eqn can be written in this form
x/a + y/b = 1
Now,
x/6 + y/3 = 1
rearranging,
y= 3- x/2 (first form)
x+2y-6=0 (second form)
now as the mentioned point lies below the line , i.e. to the side where origin also lies, then the expression x+2y-6 for a point lying below the line [say (1,1)] will have same polarity as the expression for (0,0) has.
so for (0,0) the expression x+2y-6= -6
[for (1,1) the expression x+2y-6= -3]
that means x+2y-6<0
or, 2y<6-x
or, y<3-x/2
i.e choice E
HTH