Question

1)|х + 2| < 1
2) | - 3| < 2

Answer 1

1)
$|x + 2| \ \textless \ 1$

$\left \{ {{x + 2 \ \textless \ 1 } \atop { x + 2 \ \textgreater \ - 1 }} \right. \\ \\ \left \{ {{x \ \textless \ -1 } \atop { x \ \textgreater \ - 3 }} \right.$

Ответ: 
$- 3 \ \textless \ x \ \textless \ -1$


2) 
$|x - 3| \ \textless \ 2$

$\left \{ {{x - 3 \ \textless \ 2} \atop {x - 3 \ \textgreater \ -2}} \right. \\ \\ \left \{ {{x \ \textless \ 5} \atop {x \ \textgreater \ 1}} \right.$

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