9514 1404 393
Answer:
1 < x < 29
Explanation:
The triangle inequality requires the sum of the two shortest sides exceed the longest side.
When x and 14 are the shortest:
x + 14 > 15
x > 1
When 14 and 15 are the shortest:
14 +15 > x
29 > x
Then the requirement for the length of x is ...
1 < x < 29
_____
Additional comment
The length of the third side of a triangle can be between the difference and sum of the two given sides.