The range of the possible values of x is:
x > 4
For the given triangle:
AB = 4x + 25
BC = 3x - 2
AC = 9x - 5
The sum of two of the sides of the triangle should be greater than the length of the third side
That is:
AC + BC > AB
9x - 5 + 3x - 2 > 4x + 25
12x - 7 > 4x + 25
Collect like terms
12x - 4x > 25 + 7
8x > 32
x > 32/8
x > 4
Therefore, the range of the possible values of x is:
x > 4
Learn more triangle theorems here: https://brainly.com/question/2102943
