\(\left|x-\dfrac{4}{11}\right|+\left|5+y\right|=0\)
<=> \(\left[{}\begin{matrix}\left|x-\dfrac{4}{11}\right|=0\\\left|5+y\right|=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=\dfrac{4}{11}\\y=-5\end{matrix}\right.\)
\(\left|x-\dfrac{4}{11}\right|+\left|5+y\right|=0\)
\(\left\{{}\begin{matrix}\left|x-\dfrac{4}{11}\right|\ge0\forall x\\\left|5+y\right|\ge0\forall y\end{matrix}\right.\) \(\Rightarrow\left|x-\dfrac{4}{11}\right|+\left|5+y\right|\ge0\)
Dấu "=" xảy ra khi:
\(\left\{{}\begin{matrix}\left|x-\dfrac{4}{11}\right|=0\Rightarrow x=\dfrac{4}{11}\\\left|5+y\right|=0\Rightarrow y=-5\end{matrix}\right.\)
