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# 5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?

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Math Expert
Joined: 02 Sep 2009
Posts: 58422
5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?  [#permalink]

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16 Mar 2016, 11:29
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Difficulty:

5% (low)

Question Stats:

89% (00:56) correct 11% (01:29) wrong based on 151 sessions

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5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?

A) 1 and 8
B) 2 and 6
C) 0 and 9
D) 2 and 7
E) 2 and 9

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Marshall & McDonough Moderator
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Re: 5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?  [#permalink]

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17 Mar 2016, 07:47
1
5n > 10 --> n > 2
7n < 49 --> n < 7

2 < n < 7

Manager
Joined: 07 May 2015
Posts: 174
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Re: 5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?  [#permalink]

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17 Mar 2016, 21:27
5n+2>12
5n>10
n>2

7n-5<44
7n<49
n<7

2<n<7
Ans: D
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Re: 5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?  [#permalink]

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08 May 2016, 14:39
5n+2 > 12
5n > 10
n > 2
7n-5 < 44
7n < 49
n < 7
So n must be between 2 and 7
2 < n < 7
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Re: 5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?  [#permalink]

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28 May 2017, 00:11
Bunuel wrote:
5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?

A) 1 and 8
B) 2 and 6
C) 0 and 9
D) 2 and 7
E) 2 and 9

$$5n + 2 > 12$$

Or, $$5n > 10$$

Or, $$n > 2$$

$$7n - 5 < 44$$

Or, $$7n < 49$$

Or, $$n < 7$$

So, $$2 < n < 7$$

Thus, the values of n will be { 3 , 4 , 5 , 6 }

Hence, the correct answer will be between 2 and 7 , answer will be (D)
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Re: 5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?  [#permalink]

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16 Feb 2019, 19:56
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Re: 5n + 2 > 12 and 7n - 5 < 44; n must be between which numbers?   [#permalink] 16 Feb 2019, 19:56
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