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Bunuel

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.
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11 - 5 < y - 4 < 11 + 5 [The third side is greater than the difference of two sides and lesser than the sum of the same two sides].

=> 6 < y - 4 < 16

=> 6 + 4 < y - 4 + 4 < 16 + 4

=> 10 < y < 20

Answer E
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Hello from the GMAT Club BumpBot!

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