Bonsoir,
[tex]{x^{3} - 25x >= 0}[/tex]
[tex]{x(x^{2} - 25) >= 0}[/tex]
[tex]{x(x - 5)(x + 5) >= 0}[/tex]
on Cherche les solutions de l’inéquation
x = 0 ou x - 5 = 0 ou x + 5 = 0
x = 0 ou x = 5 ou x = (-5)
x...........|-inf..............(-5).......0........5..............+inf
x...........|............(-)............(-)..O...(+).......(+).........
x - 5....|............(-).............(-).......(-)..O.....(+)........
x + 5....|...........(-).......O...(+)......(+).........(+).........
InEq....|............(-)......O....(+).O..(-)..O....(+).........
x €[tex]\boxed{ [ -5 ; 0 ] U [ 5 ; + inf [}[/tex]
