h/ Với mọi x, y ta có :
\(\left\{{}\begin{matrix}\left|x-0,5\right|\ge0\\\left|x+y-17\right|\ge0\end{matrix}\right.\)
\(\Leftrightarrow\left|x-0,5\right|+\left|x+y-17\right|\ge0\)
Dấu "=" xảy ra \(\Leftrightarrow\left\{{}\begin{matrix}\left|x-0,5\right|=0\\\left|x+y-17\right|=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-0,5=0\\x+y-17=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=0,5\\y=16,5\end{matrix}\right.\)
Vaayj...
m/ \(\left(5-x\right)+\left(3x-\frac{1}{4}\right)>0\)
\(\Leftrightarrow5-x+3x-\frac{1}{4}>0\)
\(\Leftrightarrow2x-4,75>0\)
\(\Leftrightarrow x>2,375\)
Vậy...
q/ \(5^{3x-1}=625\)
\(\Leftrightarrow5^{3x-1}=5^4\)
\(\Leftrightarrow3x-1=4\Leftrightarrow x=\frac{5}{3}\)
Vậy..