TH1: \(x+\frac{1}{3}=11\)
<=> \(x=\frac{32}{3}\)
TH2: \(x+\frac{1}{3}=-11\)
<=> x = \(\frac{-34}{3}\)
KL: \(x\in\left\{\frac{32}{3};\frac{-34}{3}\right\}\)
\(\left|x+\frac{1}{3}\right|=11\)
\(=>\left[{}\begin{matrix}x+\frac{1}{3}=11\\x+\frac{1}{3}=-11\end{matrix}\right.=>\left[{}\begin{matrix}x=11-\frac{1}{3}\\x=-11-\frac{1}{3}\end{matrix}\right.=>\left[{}\begin{matrix}x=\frac{32}{3}\\x=-\frac{34}{3}\end{matrix}\right.\)(T/M)
Vậy......
|x+1/3|=11
TH1
x+1/3=11
x=11-1/3
x=32/3
TH2
x+1/3=-11
x=-11-1/3
x=-34/3
Vậy x€{32/3 ; -34/3