Inequalities DS Question

[terp_in_umcp]

Hi. I am having the hardest time with Inequalities questions. Can someone guide me to some good material. I have already gone through Manhattan Inequality chapter but questions like this one just shake me to the core :(

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

(1) x-y is less than 2
(2) y-x is less than 2

I tried picking smart numbers but didnt get any far...

Thanks in advance....
Divz

[Markus_Maier]

Hmmm, I would make a chart with y>0 and y<0. What is the official answer? I'd guess A.

[jnelson0612]

Will you please provide the original source for this problem?

[karan13]

hi this is a tough one....
just trying this i cud be wrong... either ways i would like to know the right answer.

from the question stem x/y>2 this can only be true if X and y are positive or if both are negative.
1. this says x-y<2
now keep in mind the condition above if you try +nos x =15 and y =5. this will satisfy the question stem condiotn but fail 1. now if we take neg x= -15 and y =-5 then stem conditon satisfied but fails 1 condtiton there we move to smaller nos. x=3 y =1 this fails 1 as well. therefore fractions will satisfy all stem conditions and 1 coddition and will also answer your question 3x+2y<18 therefore we get a yes and this is sufficient.

2.this says y-x<2 again only fractions will satisfy it and answer is sufficient

Therefore my best answer is D. Please let me know what the correct answer is.

[weng.enna]

or you can solve the question 3x+2y<18 is equivalent to x+y<6. Believe the answer is D.

[karan13]

how does the equation come to x+y<18?????

[jnelson0612]

Still looking for original source of the problem . . . after one week we are required to delete threads that do not contain this information.