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Which of the following describes the possible range of value

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Which of the following describes the possible range of value [#permalink] New post 11 Jul 2018, 09:42
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Which of the following describes the possible range of values of y?

A. \(9 < y < 11\)

B. \(5 < y < 11\)

C. \(9 < y < 15\)

D. \(5 < y < 15\)

E. \(10 < y < 20\)
[Reveal] Spoiler: OA

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Re: Which of the following describes the possible range of value [#permalink] New post 19 Jul 2018, 12:41
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Carcass wrote:
Attachment:
triangle.jpg


Which of the following describes the possible range of values of y?

A. \(9 < y < 11\)

B. \(5 < y < 11\)

C. \(9 < y < 15\)

D. \(5 < y < 15\)

E. \(10 < y < 20\)



Note: sum of the 2 sides of a triangle is greater than the value of 3rd side.

so,

y-4 +5 > 11

y > 10


and

y-4 < 11+5

y< 20.


Combining the inequality:

10<y<20.


The best answer is E.
Re: Which of the following describes the possible range of value   [#permalink] 19 Jul 2018, 12:41
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Which of the following describes the possible range of value

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