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

You help us rather; I'm befuddled to see this old post.

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!!

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.

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!!

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.