| 6 x 2 − 7 x − 4 | > 1 {\displaystyle \ |6x^{2}-7x-4|>1} 6 x 2 − 7 x − 4 > 1 {\displaystyle \ 6x^{2}-7x-4>1} או 6 x 2 − 7 x − 4 < − 1 {\displaystyle \ 6x^{2}-7x-4<-1}
6 x 2 − 7 x − 4 < − 1 6 x 2 − 7 x − 3 < 0 7 ± 49 − 4 − 36 12 7 ± 49 − 4 − 36 12 x 1 = 1.5 ; x 2 = − 1 3 ↓ − 1 3 < x < 1.5 {\displaystyle {\begin{aligned}&6x^{2}-7x-4<-1\\&6x^{2}-7x-3<0\\&{\frac {7\pm {\sqrt {49-4-36}}}{12}}\\&{\frac {7\pm {\sqrt {49-4-36}}}{12}}\\&x_{1}=1.5;x_{2}=-{\frac {1}{3}}\\&\downarrow \\&-{\frac {1}{3}}<x<1.5\\\end{aligned}}}
x < 1.5 ; x > 1 2 3 {\displaystyle {\begin{aligned}x<1.5;x>1{\frac {2}{3}}\end{aligned}}}
