Data Sufficiency

|x+2|=|y+2| what is the value of x+y?
(1) xy<0
(2) x>2 y<2


(a) When both x and y are greater than - 2 ; x + 2 = y + 2 ; x = y
(b) When both x and y are less than - 2 ; - x - 2 = - y - 2 ; x = y
(c) When x is less than -2 and y is greater than -2 ; - x - 2 = y + 2 ; x + y = - 4
(d) When x is greater than -2 and y is less than -2 ; x + 2 = - y - 2 ; x + y = - 4

1)xy<0
meaninig
x<0 y>0 or x>0 y<0


taking |x+2|=|y+2|

when -2<x<0 and y>0

x+2=y+2
x=y

when x<-2 and y>0

then -x-2=y+2
y+x=-4

insuffecient

(2) x>2 y<2

when -2<y<2 and x>2


|x+2|=|y+2|

x+2=y+2
x=y

when y<-2 and x>2


|x+2|=|y+2|

x+2=-y-2
x+y=-4

insuffecient

taking both of them together

x>2 and -2<y<2

|x+2|=|y+2|

x+2=y+2
x=y

and x>2 and y<-2


|x+2|=|y+2|

x+2=-y-2
x+y=-4
as a result answer is E

ia m confused whether my approach is correct or not