Answer:
Option (C) is correct.
The range of the possible values of x is 4< x <14.
Step-by-step explanation:
Given : a triangle with side length of 5 feet , 9 feet and x feet.
We have to find the possible range of x,
The range of possible lengths of a side depends on the lengths of the other two sides.
The length of side x must be less than the sum of the other two sides.
⇒ Here, x < 9+5, or x < 14.
Also, the length of side x must be greater than the difference of the other two sides.
⇒ Here, x > 9 -5 , or x > 4.
Thus, we have the range for the possible values of x that is 4< x < 14
Thus, option (C) is correct.
