# Solve the following inequalities: (x-1)(x-2)(x-3)<0

Solve the following inequalities:
$\left(x-1\right)\left(x-2\right)\left(x-3\right)<0$
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Gornil2
$\left(x-1\right)\left(x-2\right)\left(x-3\right)<0$
$x=0:\left(-1\right)\left(-2\right)\left(-3\right)$
$\left(-\right)<0$
$x=\frac{3}{2}:\left(\frac{3}{2}-1\right)\left(\frac{3}{2}-2\right)\left(\frac{3}{2}-3\right)$
$\left(+\right)\left(-\right)\left(-\right)\text{⧸}<0$
$x=\frac{5}{2}:\left(\frac{5}{2}-1\right)\left(\frac{5}{2}-2\right)\left(\frac{5}{2}-3\right)$
$\left(+\right)\left(+\right)\left(-\right)\text{⧸}<0$
Solution: $\left(-\mathrm{\infty };1\right)\cup \left(2;3\right)$

Jeffrey Jordon

Answer is given below (on video)