X/Y >2
(two cases possible: both x,y are positive are negetive) X/Y >2 cannot be satisfied if only one of the variable is negetive.
1st case: if both negetive 3x+2y is less than 18
2nd case we dont know. lets check when X and Y both positive
soX>2Y
1st Option
X-Y<2
X<2+Y
=> 2Y<X<2+Y
to satisy above condtion Y<2 and X<4 (max values)
even with X=4 and Y=2 3X+2Y=16 (<18) so 1st option is sufficient to answer.
2nd option:
Y-X<2
X>Y+2
and X>2Y
so
...
(two cases possible: both x,y are positive are negetive) X/Y >2 cannot be satisfied if only one of the variable is negetive.
1st case: if both negetive 3x+2y is less than 18
2nd case we dont know. lets check when X and Y both positive
soX>2Y
1st Option
X-Y<2
X<2+Y
=> 2Y<X<2+Y
to satisy above condtion Y<2 and X<4 (max values)
even with X=4 and Y=2 3X+2Y=16 (<18) so 1st option is sufficient to answer.
2nd option:
Y-X<2
X>Y+2
and X>2Y
so
...