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

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Which of the following describes the possible range of values of y?  [#permalink]

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New post 12 Jul 2018, 01:12
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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. \(10 < y < 20\)


Attachment:
triangle (1).jpg
triangle (1).jpg [ 7.65 KiB | Viewed 449 times ]

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Which of the following describes the possible range of values of y?  [#permalink]

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New post Updated on: 12 Jul 2018, 01:33
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+1 for E.

11 - 5 < y-4 < 11 + 5 (Property of triangle)
6 < y - 4 < 16
6+4 < y-4+4 < 16+4 (adding 4)
10 < y < 20

Hence, E.
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Originally posted by sudarshan22 on 12 Jul 2018, 01:19.
Last edited by sudarshan22 on 12 Jul 2018, 01:33, edited 1 time in total.
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Re: Which of the following describes the possible range of values of y?  [#permalink]

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New post 12 Jul 2018, 01:25
Bunuel wrote:
Image
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. \(10 < y < 20\)


Attachment:
triangle (1).jpg


\(y-4+5>11\)
\(y>10\)

\(y-4<5+11\)
\(y<20\)

\(10<y<20\)

Property used - No side of a triangle can be greater than the sum of other 2 sides.

Hence E
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Which of the following describes the possible range of values of y?  [#permalink]

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New post 12 Jul 2018, 07:25
Bunuel wrote:
Image
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. \(10 < y < 20\)


Attachment:
triangle (1).jpg




Note:[color= The sum of the any 2 legs will be greater than the 3rd leg. [/color]. This question is designed solely based on this concept.


Given,

legs = 11 , 5 , ( y - 4)

CASE 1:

(y- 4 ) + 5 > 11

y> 10

CASE 2:

y-4 < 11+ 5

y < 20.


Combining both cases :

10 < y < 20.


Thus option E is the best answer.
Which of the following describes the possible range of values of y? &nbs [#permalink] 12 Jul 2018, 07:25
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