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If x, y, and z are lengths of three sides of a triangle, is

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by GMATinsight » Thu Oct 08, 2015 1:17 am
If x, y, and z are lengths of three sides of a triangle, is x < 3?

(1) z = y + 3
(2) y = 3 and z = 6

Answer: option D
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by GMATinsight » Thu Oct 08, 2015 1:18 am
GMATinsight wrote:If x, y, and z are lengths of three sides of a triangle, is x < 3?

(1) z = y + 3
(2) y = 3 and z = 6

Answer: option D
Property: Sum of any two sides must be greater than third side for a Triangle to Exist

Question : Is x < 3??

Statement 1: z = y + 3
for triangle to exist x+y>z
i.e. x+y>y+3
i.e. x>3
then x must be greater than 3
SUFFICIENT

Statement 2:y = 3 and z = 6
if y=3 and z=6
for triangle to exist x+y>z
i.e. x+3>6
then x must be greater than 3
SUFFICIENT

Answer: option D
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