Re: If x does not equal -y is (x-y)/(x+y)>1?

Lets just consider the left hand side of the inequality:

(x-y)/(x+y),

1) y < 0 , the left hand side of the numerator can now be rewritten as : (x+ |y|) / (x-|y|).
We can still not say that the numerator is larger than the denominator as we still do not know the value of x
e.g. , if x=-4 , y = -1

then , (x-y)/(x+y) = -3/-4 = 3/4 (<1)

if x =4 , y = -1

then , (x-y)/(x+y) = 5/3 (>1)

So this is insufficient

2) x+y > 0

=> x > -y
this is insufficient too

but if consider 1 and 2 together

from the second statement we have , x > -y ans since y < 0

x > |y|

So both statements are needed to prove the inequality