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If (x/y) > 2, is 3x+2y<18 (1) x-y is less than 2

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If (x/y) > 2, is 3x+2y<18 (1) x-y is less than 2 [#permalink] New post 04 Mar 2009, 11:34
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1) If (x/y) > 2, is 3x+2y<18

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

How can it be solved without using graphs?

Thanks
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kris

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Re: Inequality DS [#permalink] New post 06 Mar 2009, 07:38
Is B the answer??. but i havent tried without the graphical approach...

I guess this is a typical example where u have to use the graphical approach.
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Re: Inequality DS (no graphs) [#permalink] New post 06 Mar 2009, 08:38
4 lines in 2 minutes is hard. But the alternative to plug in numbers is tougher.
Drawing with same color marker on a laminated sheet is crazy! :)
I am not sure GMAC wants us to draw graphs.

Of course, the following is not applicable everywhere, but use graphs as last resort.

Another way to use is try to use plain algebra. If a>b, and b >c, a>c.

1) If (x/y) > 2, is 3x+2y<18
x>2y ========> 3x > 6y
8y < 18?
y < 9/4?

(i) x -y <2
y < 2 SUFF.

(ii) y-x < 2
-y < 2
y > -2
INSUFF.

A. No graphs :)
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Re: Inequality DS (no graphs) [#permalink] New post 06 Mar 2009, 09:31
ConkergMat wrote:
4 lines in 2 minutes is hard. But the alternative to plug in numbers is tougher.
Drawing with same color marker on a laminated sheet is crazy! :)
I am not sure GMAC wants us to draw graphs.

Of course, the following is not applicable everywhere, but use graphs as last resort.

Another way to use is try to use plain algebra. If a>b, and b >c, a>c.

1) If (x/y) > 2, is 3x+2y<18
x>2y ========> 3x > 6y
8y < 18?
y < 9/4?

(i) x -y <2
y < 2 SUFF.

(ii) y-x < 2
-y < 2
y > -2
INSUFF.

A. No graphs :)


Hi ConkergMat,

you can not do x/y > 2 --> x > 2y for inequalities (can't cross multiply with variables whose sign you don't know)

krishan - I believe I have seen this question solved non graphically on this board somewhere.. search for it.

If you can't find it I'll post the solution.

Thanks
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Re: Inequality DS [#permalink] New post 06 Mar 2009, 09:55
duh... same mistake again...sorry guys...looks like graphs is the reliable way.
Can't go against walker ;)
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Re: Inequality DS [#permalink] New post 06 Mar 2009, 11:27
I think this looks to be A for me..

i draw the lines on the graph and it just seems 1) is always bigger than y<3/2 x -9
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Re: Inequality DS [#permalink] New post 06 Mar 2009, 17:15
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Here is the graphical approach. I strongly believe that there is no better way than graphical approach for solving the linear inequalities in DS.

The document might be lengthy, as I tried to explain as much as possible. But once you understand, it should as simple to solve any Linear Inequality. :)

I hope all my DS questions in real GMAT are on Inequalities. :P. I am sure I will nail them down.
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DS Ineq question and graphical solution.doc [1.21 MiB]
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Re: Inequality DS [#permalink] New post 07 Mar 2009, 03:28
Thanks mrsmarthi, u explained wonderfully.+1 frm me.
does anyone have the link for more inequalities DS questions for practice?
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Re: Inequality DS [#permalink] New post 07 Mar 2009, 04:18
:roll: I am still looking for some approaches that do not use graphs and the question is still answered in 2 minutes :knight
I will surely come up with one :moped
Re: Inequality DS   [#permalink] 07 Mar 2009, 04:18
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