Question

Срочно плиззз ❤❤❤❤❤25 баллов

Answer 1

2) 
$|1-2x| \leq 5$

$\left \{ {{1-2x \ \leq \ 5} \atop {1-2x \ \geq \ -5}} \right. \\ \\ \left \{ {{-2x \ \leq \ 4} \atop {-2x \ \geq \ -6}} \right. \\ \\ \left \{ {{x \ \geq \ -2} \atop {x \ \leq \ 3}} \right.$

Ответ: $-2 \leq x \ \leq \ 3$


4) 
$|4+3x| \geq 2$

$\left[\begin{array}{ccc}4+3x \geq 2\\4+3x \leq -2\end{array}\right \\ \\ \\ \left[\begin{array}{ccc}3x \geq -2\\3x \leq -6\end{array}\right \\ \\ \\ \left[\begin{array}{ccc}x \geq - \frac{2}{3} \\x \leq -2\end{array}\right$

Ответ: $x \leq -2 \ \bigcup \ x \geq - \frac{2}{3}$

6)
$|4x+3| \geq 5$

$\left[\begin{array}{ccc}4x+3 \geq 5\\4x+3 \leq -5\end{array}\right \\ \\ \\ \left[\begin{array}{ccc}4x \geq 2\\4x \leq -8\end{array}\right \\ \\ \\ \left[\begin{array}{ccc}x \geq \frac{1}{2} \\x \leq -2\end{array}\right$

Ответ: $x \leq -2 \ \bigcup \ x \geq \frac{1}{2}$