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

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Bunuel
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What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 [#permalink] New post   05 Jul 2018, 21:29
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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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A
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munzuto
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What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 [#permalink] New post   05 Jul 2018, 22:04
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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
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Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 [#permalink] New post   30 Oct 2018, 06:54
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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

A is the correct answer

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

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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Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 [#permalink] New post   30 Oct 2018, 06:47
Trying the option A gives -39 < -46.

Which is not true.

A is the answer.
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Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 [#permalink] New post   30 Mar 2020, 00:24
IMO, the language is wrong. The question should have asked "Which is the smallest integer that does not satisfy"

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Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 [#permalink] New post   30 Mar 2020, 00:29
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Thakurdas wrote:
IMO, the language is wrong. The question should have asked "Which is the smallest integer that does not satisfy"

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No, the question is correct as it is.

3(x – 9) < 5x – 2(1 – 3x) is true for x > -3.125.

The integers that do not satisfy 3(x – 9) < 5x – 2(1 – 3x) are: -4, -5, -6, -7, ... So, the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 – 3x) is -4.
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Re: What is the greatest integer that does NOT satisfy 3(x – 9) < 5x – 2(1 [#permalink]
30 Mar 2020, 00:29
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