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# What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1

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Math Expert
Joined: 02 Sep 2009
Posts: 61283
What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1  [#permalink]

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30 Oct 2018, 02:41
00:00

Difficulty:

55% (hard)

Question Stats:

55% (01:32) correct 45% (01:32) wrong based on 57 sessions

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What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 – 3x) ?

A. –4
B. –3
D. 3
E. 4
C. 0

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1054
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE: Engineering (Energy and Utilities)
Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1  [#permalink]

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30 Oct 2018, 05:47
Trying the option A gives -39 < -46.

Which is not true.

Manager
Joined: 26 Feb 2017
Posts: 85
Location: India
GPA: 3.99
Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1  [#permalink]

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30 Oct 2018, 05:54
1
3(x-9) < 5x -2(1-3x)
3x-27 < 11x - 2
-25 < 8x
Putting the values of x given:
-25 < 8(-4)
Which is incorrect

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Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1   [#permalink] 30 Oct 2018, 05:54
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