Given three segments of length x, 11-x, and x-4, respectively. Which of the following indicates the set of all numbers x such that the 3 segments could be the lengths of the sides of a triangle

Question

angelab97 · Answer

I know the answer E but why can't it be D?

angelab97 · Answer

A. X>4
B. X<11
C. 0<X<7
D. 5<X<15
E.  5<X<7

jdoe0001 · Answer

well, if we let 5< x < 15
so that means x = 14 is ok
and our side of 11-x will give 11-14, which won't give us a valid value for the context

angelab97 · Answer

when i did x+11-x> x-4 it equaled 15>x then x+x-4>11-x equaled x>5 x-4=11-x>x equaled 7>x How did all of that turn out to be 5

jdoe0001 · Answer

well, I dunno what "x" is, so not sure if I'd say that x+x-4>11-x

jdoe0001 · Answer

I know that 11-14 won't work for the 2nd segment