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1)|x-2| < 4
[latex] \left \{ {x-2\ \textless \ {4} \atop {x-2\ \textless \ {-4} \right. [/latex]
[latex] \left \{ {{x\ \textless \ 6} \atop {x\ \textless \ -2}} \right. [/latex]
x = (-2; 6)
2)|x+7| < 5
[latex] \left \{ {{x+7\ \textless \ 5} \atop {x+7\ \textless \ -5}} \right. [/latex]
[latex] \left \{ {{x\ \textless \ -2} \atop {x\ \textless \ -12}} \right. [/latex]
x = (-12; -2)
3) |x+8| < 1
[latex] \left \{ {{x+8 \ \textless \ 1} \atop {x+8 \ \textless \ -1}} \right. [/latex]
[latex] \left \{ {{x\ \textless \ -7} \atop {x\ \textless \ -9}} \right. [/latex]
x = (-9; -7)
4) |2x - 4|> 2
[latex] \left \{ {{2x-4\ \textgreater \ 2} \atop {2x-4\ \textgreater \ -2}} \right. [/latex]
[latex] \left \{ {{2x\ \textgreater \ 6} \atop {2x\ \textgreater \ 2}} \right. [/latex]
[latex] \left \{ {{x\ \textgreater \ 3} \atop {x \ \textgreater \ 1}} \right. [/latex]
x = (1; 3)
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