| 4 x 2 − x | > 4 x − 1 {\displaystyle \ |4x^{2}-x|>4x-1} 4 x 2 − x > 4 x − 1 {\displaystyle \ 4x^{2}-x>4x-1} או 4 x 2 − x < − ( 4 x − 1 ) {\displaystyle \ 4x^{2}-x<-(4x-1)}
4 x 2 − x < − ( 4 x − 1 ) 4 x 2 + 3 x − 1 < 0 − 3 ± 9 − 4 ∗ 4 − 1 8 − 3 ± 5 8 x 1 = 1 4 : x 2 = − 1 ↓ − 1 < x < 1 4 {\displaystyle {\begin{aligned}&4x^{2}-x<-(4x-1)\\&4x^{2}+3x-1<0\\&{\frac {-3\pm {\sqrt {9-4*4-1}}}{8}}\\&{\frac {-3\pm 5}{8}}&x_{1}={\frac {1}{4}}:x_{2}=-1\\&\downarrow \\&-1<x<{\frac {1}{4}}\end{aligned}}}
x < 1 4 : x > 1 {\displaystyle {\begin{aligned}x<{\frac {1}{4}}:x>1\end{aligned}}}
