Inequalities - Gmat prep

Hey Vibho,

The question stem is a bit unclear but if it were to be this Is x+1/x-3<0

1) -1<x<1
2) x^2 - 4<0

Then

Statement 1) x can take values between -1 and 1

for any value of x between -1<x<1, (x+1) will be positive, take x=-0.99, then we have x+1 as 0.01

and as with the denominator for any x between -1<x<1, (x-3) will be negative
Take x=0.99, we have 0.99-3= - 2.01, for x=-0.99, -3.99

So during this interval we have a positive / negative which implies that within this range the given equation is always negative, or <0

Hence (1) is sufficient

2) x^2 - 4<0

Implies that x^2<4

or -2<x<2

Now consider the numerator, x+1

For x>-1, x+1 will be positive
but for values between -2<x<-1, we have x+1 as negative

Similarly with the denominator

for all values of x between -2<x<2, x-3 will be negative

Since the numerator is hovering between positive and negative depending on values of x, we can say that (2) is sufficient

Hence the answer is A