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