Question

помогите решить неравенство |x-3|<2
|x+1|≥3

Answer 1

$\left \{\begin{array}{ccc}x-3 \ \textless \ 2\\ x-3 \ \textgreater \ -2\end{array}\right \Rightarrow \left \{\begin{array}{ccc}x \ \textless \ 5\\ x \ \textgreater \ 1\end{array}\right \Rightarrow 1 \ \textless \ x \ \textless \ 5$

Ответ:  $1 \ \textless \ x \ \textless \ 5$


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

Ответ: 
$x \geq 2\\ x \leq -4$