| 2 x 2 − 9 x | < 7 x − 24 − 7 x + 24 < 2 x 2 − 9 x < 7 x − 24 {\displaystyle {\begin{aligned}&|2x^{2}-9x|<7x-24\\&-7x+24<2x^{2}-9x<7x-24\\\end{aligned}}}
2 x 2 − 9 x < 7 x − 24 2 x 2 − 16 x + 24 < 0 ( x − 6 ) ( x − 2 ) < 0 ( x − 6 ) ( x − 2 ) = 0 x 1 = 6 : x 2 = 2 ↓ 2 < x < 6 {\displaystyle {\begin{aligned}&2x^{2}-9x<7x-24&2x^{2}-16x+24<0\\&(x-6)(x-2)<0\\&(x-6)(x-2)=0\\&x_{1}=6:x_{2}=2\\&\downarrow \\&2<x<6\\\end{aligned}}}
4 < x < 6 {\displaystyle {\begin{aligned}4<x<6\end{aligned}}}
