IshanGre wrote:

I got the answer D, can anyone explain the B as an answer.

It is given that x<0 and y>0y

Quantity A is "|x|−|y|"

Now since x<0, value of |x| = -x and value of |y| is y

"|x|−|y|" = - x - y which can be written as -(x+y)

Quantity B is |x−y|

Since x is less than 0 and y is also negative the whole term is negative. Hence open it with a (-) sign

-(x-y) = -x+y

Quantity A is -x-y

Quantity B is -x+y

Since y is greater than 0, Quantity B is greater than Quantity A

Regards,

Mudit

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