| x | + 6 < x 2 | x | < x 2 − 6 − x 2 + 6 < x < x 2 − 6 {\displaystyle {\begin{aligned}&|x|+6<x^{2}\\&|x|<x^{2}-6\\&-x^{2}+6<x<x^{2}-6\\\end{aligned}}}
x < x 2 − 6 x 2 − x − 6 > 0 ( x + 2 ) ( x − 3 ) > 0 ( x + 2 ) ( x − 3 ) = 0 ↓ x < − 2 ; x > 3 {\displaystyle {\begin{aligned}&x<x^{2}-6\\&x^{2}-x-6>0\\&(x+2)(x-3)>0\\&(x+2)(x-3)=0\\&\downarrow \\&x<-2;x>3\\\end{aligned}}}
x < − 3 ; x > 3 {\displaystyle {\begin{aligned}x<-3;x>3\end{aligned}}}
