Question

пж помогите алоооооооооооооооооооо​

Answer 1

$1)|x-2|\leq 5,4\\\\\left[\begin{array}{ccc}x-2\leq5,4 \\x-2\geq -5,4\end{array}\right\\\\\\\left[\begin{array}{ccc}x\leq7,4 \\x\geq -3,4\end{array}\right\\\\\\Otvet:\boxed{x\in[-3,4 \ ; \ 7,4]}\\\\\\2)|x-2|\geq5,4\\\\\left[\begin{array}{ccc}x-2\geq5,4 \\x-2\leq-5,4 \end{array}\right\\\\\\\left[\begin{array}{ccc}x\geq7,4 \\x\leq -3,4\end{array}\right\\\\\\Otvet:\boxed{x\in(-\infty \ ; \ -3,4]\cup[7,4 \ ; \ +\infty)}$

$3)|3x+2|\geq 5\\\\\left[\begin{array}{ccc}3x+2\geq5 \\3x+2\leq-5 \end{array}\right\\\\\\\left[\begin{array}{ccc}3x\geq3 \\3x\leq -7\end{array}\right\\\\\\\left[\begin{array}{ccc}x\geq1 \\x\leq-2\frac{1}{3} \end{array}\right\\\\\\\boxed{x\in(-\infty \ ; \ -2\frac{1}{3}]\cup[1 \ ; \ + \infty)}$

$4)|2x-3|<5\\\\\left[\begin{array}{ccc}2x-3<5\\2x-3>-5\end{array}\right\\\\\\\left[\begin{array}{ccc}2x<8\\2x>-2\end{array}\right\\\\\\\left[\begin{array}{ccc}x<4\\x>-1\end{array}\right\\\\\\Otvet:\boxed{x\in(-1 \ ; \ 4)}$