bạn tick hộ mik nha
Ta có:\(\left|x-1\right|\ge x-1\)
\(\left|x-9\right|=\left|9-x\right|\ge9-x\)
Nên \(\left|x+1\right|+\left|9-x\right|\ge x+1+9-x\)
\(\left|x+1\right|+\left|9-x\right|\ge10\)
\(\left[{}\begin{matrix}x+1\ge0\\9-x\ge0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}1\le x\\9\ge x\end{matrix}\right.\) \(\Rightarrow\)\(1\le x\le9\)
\(\Rightarrow x\in\left\{1;2;3....;9\right\}\)
Vậy A đạt GTNN là 10 tại \(x\in\left\{1;2;..;9\right\}\)
tick hộ mik đi mà
#THANKS#^-^