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? 1. x4 2. x

Question

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?
1. x>4
2. x<11
3. 0<x<7
4. 5<x<15
5. 5<x<7

anonymous · Answer

choice no. 5!!

anonymous · Answer

4 is correct

curry · Answer

i need you imyan for my question please check ity

anonymous · Answer

For the segments to make a triangle the law to be checked is that "Sum of two sides is always greater than the third side". So x+11-x>x-4 which implies x<15 and also 11-x+x-4>x which implies x<7 and also x-4+x>11-x which implies x>5. Combining the three results you can infer that x must be between 5 and 7. That is 5