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If 6 < 2x – 4 < 12, which of the following could be the valu

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Carcass
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If 6 < 2x – 4 < 12, which of the following could be the valu [#permalink] New post   23 Jul 2018, 09:44
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If \(6 < 2x – 4 < 12\), which of the following could be the value of x?

(A) 4
(B) 5
(C) 7
(D) 8
(E) 9

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kaziselim
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Re: If 6 < 2x – 4 < 12, which of the following could be the valu [#permalink] New post   25 Jul 2018, 19:44
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Carcass wrote:
If \(6 < 2x – 4 < 12\), which of the following could be the value of x?

(A) 4
(B) 5
(C) 7
(D) 8
(E) 9

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Given

\(6 < 2x – 4 < 12\)

10 < 2x <16...................add 4 in all parts

5 < x < 8....................divided by 2


We get a range pf values . So x could be 6 or 7.

Only option c matches. C is the best answer. Note: this is could be true question.
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Re: If 6 < 2x – 4 < 12, which of the following could be the valu [#permalink] New post   31 Dec 2021, 02:31
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Given that \(6 < 2x – 4 < 12\) and we need to find a possible value of x out of the answer choices

\(6 < 2x – 4 < 12\)
Adding 4 on all the sides we get

6 + 4 < 2x - 4 + 4 < 12 + 4
=> 10 < 2x < 16
Dividing by 2 on all the sides we get
=> 5 < x < 8
=> 7 is a possible value of x

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Inequalities

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Re: If 6 < 2x – 4 < 12, which of the following could be the valu [#permalink]
31 Dec 2021, 02:31
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