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# Is x + 2y -­ 3z > 0?

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Manager
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Is x + 2y -­ 3z > 0?  [#permalink]

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24 Oct 2017, 22:10
1
00:00

Difficulty:

65% (hard)

Question Stats:

69% (02:10) correct 31% (01:36) wrong based on 48 sessions

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Is $$x + 2y -­ 3z > 0$$ ?

(1) $$4x ­- 3y ­- z > 0$$
(2) $$3x + 2z -­ 5y > 0$$

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Naveen
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Intern
Joined: 28 Aug 2017
Posts: 35
Re: Is x + 2y -­ 3z > 0?  [#permalink]

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25 Oct 2017, 03:36
1
Is x + 2y - 3z > 0?

Statement 1:
4x - 3y - z > 0
(x + 2y - 3z) - 5y + 2z > 0
x + 2y - 3z > 5y - 2z
Statement is insufficient.

Statement 2:
3x - 5y + 2z > 0
(x + 2y - 3z) - 7y + 5z > 0
x + 2y - 3 z > 7y - 5z

Combining statements 1 and 2:
4x - 3y - z > 0 and 3x - 5y + 2z > 0
Adding the inequalities because both are greater than 0 (we can't subtract the inequalities because we don't know if the result is greater than 0 or less than 0 as either could be possible)
7x - 8y - z > 0
(x + 2y - 3z) + 6x - 10y + 2z > 0
x + 2y - 3z > 10y - 2z - 6x
Insufficient.

Intern
Joined: 13 Dec 2013
Posts: 2
Re: Is x + 2y -­ 3z > 0?  [#permalink]

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28 Oct 2017, 11:29
c
combining both statements: subtract statement 2 from 1 it gives x+2y-3z<0.. so is the answer.
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Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
Re: Is x + 2y -­ 3z > 0?  [#permalink]

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28 Oct 2017, 11:33
reshamdhaga wrote:
c
combining both statements: subtract statement 2 from 1 it gives x+2y-3z<0.. so is the answer.

Hi reshamdhaga

if you subtract i.e multiply the inequality by -1 then the sign of the inequality will change. then you cannot add the two inequalities.

in this case 3x+2z−­5y>0 will become -3x-2z+5y<0

so you cannot add the two inequalities

Re: Is x + 2y -­ 3z > 0? &nbs [#permalink] 28 Oct 2017, 11:33
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