Question

Which inequality explains why these three segments cannot be used to construct a triangle?

EF + FD > DE
ED + EF < DF
ED + EF > DF
EF + FD < DE

Answer 1

If the sum of any 2 sides is less than the third side you won;t get a triangle

B is the correct option.

Answer 2

Option B

Explanation:

In a triangle, as per triangle conjecture, the sum of two sides will always be strictly greater than the third side

From the given four options,

`EF + FD > DE\\ED + EF < DF\\ED + EF > DF\\EF + FD < DE`

we see that option B is inconsistent with this requirement

Hence option B is right answer.