GMAT TIGER wrote:

marcodonzelli wrote:

If x/y > 2, is 3x + 2y < 18 ?

(1) x - y is less than 2.

(2) y - x is less than 2.

given that x/y > 2, x and y both are either -ve or +ve.

from 1: x - y < 2.

x < y+2

if both are +ve, x is not greater than y+2.

so if y = 0.5, x should be <2.5. lets say x =2.49

3x + 2y = (3x2.49) + (2x0.5) = 8.498. suff..

if both are -ve, they obviously are less than 18. suff.

(2) y - x < 2

given that x/y > 2, x and y both are either -ve or +ve.

in this case, x could be 20 and y = 5 or x = 3 and y = 1.2.

so not suff.

A is it.

OA is A

argument says that x/y>2. in case y is negative also x must be neg and our thesis is shown. in the case of y<0 there could be differences.

1.if y>0, then x>2x; 3*2y + 2y=8y; if y<2, as 1. says, we would have 8y<16<18. suff

2.in the case of y>0, x>2y and, following 2, y>-2. this adds nothing

therefore oa is A