Question

Решите неравенство
|0,5x+6|>4
$|0.5x + 6| > 4$


​

Answer 1

$\displaystyle |0,5x+6|>4 \Leftrightarrow \left [\begin{array}{ccc} 0,5x+6>4\\0,5x+6<-4 \end{array} \right. \Leftrightarrow \left [\begin{array} xx+12>8\\ x+12<-8 \end{array} \right. \Leftrightarrow \\\\\\ \left [ \begin{array}x x>-4\\ x<-20 \end{cases} \Leftrightarrow x\in(-\infty \ ; \ -20) \ \cup \ (-4 \ ; \ \infty )$