x2−4|x|+3≥0−4|x|≥−x2−3{\displaystyle {\begin{aligned}&x^{2}-4|x|+3\geq 0\\&-4|x|\geq -x^{2}-3\\\end{aligned}}} −4x≥−x2−3{\displaystyle -4x\geq -x^{2}-3} או −4x<x2+3{\displaystyle \ -4x<x^{2}+3}
−4x<x2+3x2+3+4x≥0(x+1)(x+3)≥0(x+1)(x+3)=0x1=−1:x2=−3↓x≤−3;x≥−1{\displaystyle {\begin{aligned}&-4x<x^{2}+3\\&x^{2}+3+4x\geq 0\\&(x+1)(x+3)\geq 0\\&(x+1)(x+3)=0\\&x_{1}=-1:x_{2}=-3\\&\downarrow \\&x\leq -3;x\geq -1\\\end{aligned}}}
x≤−3;−1<x<1;x>3{\displaystyle {\begin{aligned}x\leq -3;-1<x<1;x>3\end{aligned}}}