Question

Solve the Inequality:-
\[\Huge{\color{green}{(x-1)(3-x)(x-2)^2>0}}\]
@UnkleRhaukus @dumbcow @Hero @lgbasallote :)

Answer 1

first make the coefficients of x positive.

Answer 2

that is,
\[-(x-1)(x-3)(x-2)^{2}>0\]

Answer 3

now multiply by -1 both sides.
we get,
\[\huge (x-1)(x-3)(x-2)^{2}<0\]

Answer 4

now critical points - 1,3,2,2
draw on the no. line.
by wavy curve method,