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absolute value !!!!!!!!!!!!!!!

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by sanju09 » Tue Apr 24, 2012 4:07 am
charmaine wrote:there are an absolute value of the subject, how is it so that kind is xlyl >= lxl y?
a) lxl <= -y
b) lyl <= -x

help plz ! thanksss :)
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by shantanu86 » Tue Apr 24, 2012 10:18 pm
charmaine wrote:there are an absolute value of the subject, how is it so that kind is xlyl >= lxl y?
a) lxl <= -y
b) lyl <= -x

help plz ! thanksss :)
Hi sanju09, charmaine,

x|y| >= |x|y.. (1.)

We know that abs value of a number is always >=0.. therefore (1.) can be true only if y is negative or 0 irrespective of x (x if positive '>' will happen, if negative or 0 '=' will happen.)

a.) alone tells that y is negative..

Hence, [A] is the correct answer.

Hope it helps!!
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by spartacus1412 » Wed Apr 25, 2012 8:45 pm
I think both together would be required to comclude that |x|y > = |y|x

from A , we conclude that y <0, no information about x is supplied.--INSUFFICIENT
from B , we conclude that x <0, no information about y is supplied.--INSUFFICIENT

combine them , x<0 and y<0

they hence |x|y and |y|x would be equal to each other.

Hope I was clear.
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by shantanu86 » Wed Apr 25, 2012 9:22 pm
spartacus1412 wrote:I think both together would be required to comclude that |x|y > = |y|x

from A , we conclude that y <0, no information about x is supplied.--INSUFFICIENT
from B , we conclude that x <0, no information about y is supplied.--INSUFFICIENT

combine them , x<0 and y<0

they hence |x|y and |y|x would be equal to each other.

Hope I was clear.
Hi spartacus1412,

Your solution is incorrect.
Please read my earlier explanation once again and let me know if you have doubts.

As an illustration, let me use an example to reject your solution and establish mine..

let y = -3, x= +/- 5

My argument is that y= -3 is sufficient. Let's evaluate..

Case x = +5
x|y| = 15, |x|y = -15
hence, x|y| >= |x|y

Case x = -5
x|y| = -15, |x|y = -15
hence, x|y| >= |x|y

From this we can safely conclude that sign of x is not required and only y has to be negative for inequality to hold.

Hope it helps!!
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by sanju09 » Thu Apr 26, 2012 2:35 am
shantanu86 wrote:
charmaine wrote:there are an absolute value of the subject, how is it so that kind is xlyl >= lxl y?
a) lxl <= -y
b) lyl <= -x

help plz ! thanksss :)
Hi sanju09, charmaine,

x|y| >= |x|y.. (1.)

We know that abs value of a number is always >=0.. therefore (1.) can be true only if y is negative or 0 irrespective of x (x if positive '>' will happen, if negative or 0 '=' will happen.)

a.) alone tells that y is negative..

Hence, [A] is the correct answer.

Hope it helps!!
Oh I see, I thought "there are an absolute value of the subject, how is it so that kind" to be the part of question stem and got confused.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
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