$a)2(x-3)+3(x-5)>16$
$2x-6+3x-15>16$
$5x>37$
$x>\dfrac{37}{5}$
$b)(x-\dfrac{3}{4})(x+1,6)>0$
\(\left[ \begin{array}{l}x-\dfrac{3}{4}>0\\x+1,6>0\end{array} \right.\) hay \(\left[ \begin{array}{l}x-\dfrac{3}{4}<0\\x+1,6<0\end{array} \right.\)
\(\left[ \begin{array}{l}x>\dfrac{3}{4}\\x>-1,6\end{array} \right.\) hay \(\left[ \begin{array}{l}x<\dfrac{3}{4}\\x<-1,6\end{array} \right.\)
\(\left[ \begin{array}{l}x>\dfrac{3}{4}\\x<-1,6\end{array} \right.\)
$c)3(23-x)+7(x-5)+25<19$
$69-3x+7x-35+25<19$
$4x<-40$
$x>10$
$d)(32-2x)(x+2,5)<0$
\(\left[ \begin{array}{l}-2x+32<0\\x+2,5>0\end{array} \right.\) hay \(\left[ \begin{array}{l}-2x+32>0\\x+2,5<0\end{array} \right.\)
\(\left[ \begin{array}{l}x>16\\x>-2,5\end{array} \right.\) hay \(\left[ \begin{array}{l}x<16\\x<-2,5\end{array} \right.\)
⇒\(\left[ \begin{array}{l}x>16\\x<-2,5\end{array} \right.\)