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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: 56303
What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1  [#permalink]

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05 Jul 2018, 21:29
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Difficulty:

75% (hard)

Question Stats:

54% (01:41) correct 46% (01:52) wrong based on 59 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
C. 0
D. 3
E. 4

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

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Updated on: 05 Jul 2018, 22:19
Bunuel 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

Simplifying given inequality, we have $$3(x – 9) < 5x – 2(1 – 3x)$$
Or, 8x+25>0
Or, x>-3.125

So, the greatest integer that doesn't satisfy the given in equality is -4.

Ans. (A)
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Originally posted by PKN on 05 Jul 2018, 21:49.
Last edited by PKN on 05 Jul 2018, 22:19, edited 1 time in total.
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Joined: 23 Feb 2018
Posts: 11
What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1  [#permalink]

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05 Jul 2018, 22:04
3
Quote:
Simplifying given inequality, we have $$3(x – 9) < 5x – 2(1 – 3x)$$
Or, -8x+25<0
Or, x>3.125

So, the greatest integer that doesn't satisfy the given in equality is 3.

Ans. (D)

Hi,

On simplification I am getting $$x > -3.125$$ which makes my answer A
What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1   [#permalink] 05 Jul 2018, 22:04
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