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

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What is the greatest integer that does NOT satisfy 3(x – 9) [#permalink]  29 Jan 2018, 15:09
Expert's post
00:00

Question Stats:

60% (01:17) correct 40% (02:01) wrong based on 10 sessions
What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 – 3x) ?
A. –4
B. –3
C. 0
D. 3
E. 4

Drill 1
Question: 10
Page: 494-495
[Reveal] Spoiler: OA

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Sandy
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Re: What is the greatest integer that does NOT satisfy 3(x – 9) [#permalink]  30 Jan 2018, 08:51
sandy wrote:
What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 – 3x) ?
A. –4
B. –3
C. 0
D. 3
E. 4

Here,

3(x – 9) < 5x – 2(1 – 3x)

After simplifying we get

8x > -25
or x > $$-3 \frac{1}{8}$$

therefore any number less than -3 will not satisfy the above equation

Therefore answer is -4, option A
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Re: What is the greatest integer that does NOT satisfy 3(x – 9) [#permalink]  03 Feb 2018, 04:01
Thank you.
GRE Prep Club Legend
Joined: 07 Jun 2014
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Re: What is the greatest integer that does NOT satisfy 3(x – 9) [#permalink]  04 Mar 2018, 14:15
Expert's post
Explanation

The given inequality is equivalent to $$3x - 27 < 11x - 2$$, which becomes $$-8x < 25$$.

Dividing both sides by –8 (and flipping the inequality sign), you get $$x > \frac{-3}{8}$$.

Therefore, any number that is greater than -3 $$\frac{-3}{8}$$ will satisfy the inequality, so the greatest integer that
does not satisfy it is $$x = -4$$, choice (A).
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Re: What is the greatest integer that does NOT satisfy 3(x – 9) [#permalink]  05 Mar 2018, 02:48
can not we multiply the whole 5x-2 with (1-3x) ?
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GRE Prep Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

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Re: What is the greatest integer that does NOT satisfy 3(x – 9) [#permalink]  05 Mar 2018, 03:02
Expert's post
boxing506 wrote:
can not we multiply the whole 5x-2 with (1-3x) ?

We cannot multiply 5x-2 with (1-3x) unless it is in the form (1-3x)(5x-2).

We need to pay attention to the brackets.
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Re: What is the greatest integer that does NOT satisfy 3(x – 9)   [#permalink] 05 Mar 2018, 03:02
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# What is the greatest integer that does NOT satisfy 3(x – 9)

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