9514 1404 393
Answer:
x > 3
Step-by-step explanation:
The triangle inequality requires ...
AB +BC > AC
(2x +5) +(3x -2) > (4x -8)
5x +3 > 4x -8
x > -11
BC +AC > AB
(3x -2) +(4x -8) > (2x +5)
7x -10 > 2x +5
5x > 15
x > 3
AC +AB > BC
(4x -8) +(2x +5) > (3x -2)
6x -3 > 3x -2
3x > 1
x > 1/3
The most restrictive of these conditions on x is ...
x > 3 . . . . all possible values of x
