( 𝑥 − 1 ) 2 ( 𝑥 − 5 ) < 0 ${\displaystyle {\left(x-1\right)}^2\left(x-5\right)<0}$

( 𝑥 − 1 ) ( 𝑥 − 5 ) < 0 $\left(x-1\right)\left(x-5\right)<0$

𝑥 − 1 𝑥 − 5 > 0 ${\displaystyle \frac{x-1}{x-5}>0}$

( 𝑥 − 5 ) 2 𝑥 − 1 > 0 ${\displaystyle \frac{{\left(x-5\right)}^2}{x-1}>0}$

𝑥 < 1 ${\displaystyle x<1}$ или 1 < 𝑥 < 5 ${\displaystyle 1<x<5}$

1 < 𝑥 < 5 ${\displaystyle 1<x<5}$

1 < 𝑥 < 5 ${\displaystyle 1<x<5}$ или 𝑥 > 5 ${\displaystyle x>5}$

𝑥 < 1 ${\displaystyle x<1}$ или 𝑥 > 5 ${\displaystyle x>5}$