Lg(x-1) меньше 2 Log_2(2-x) меньше =3

[latex]\displaystyle lg(x-1)\ \textless \ 2[/latex] [latex]ODZ (x-1)\ \textgreater \ 0; x\ \textgreater \ 1[/latex] [latex]\displaystyle lg(x-1)\ \textless \ 2[/latex] [latex]\displaystyle x-1\ \textless \ 10^2[/latex] [latex]\displaystyle x-1\ \textless \ 100[/latex] [latex]\displaystyle x\ \textless \ 101[/latex] x∈ [latex](1;101)[/latex] [latex]\displaystyle log_2(2-x) \leq 3[/latex] [latex]ODZ 2-x\ \textgreater \ 0; x\ \textless \ 2[/latex] [latex]\displaystyle log_2(2-x) \leq 3 (2-x) \leq 2^3 (2-x) \leq 8 x \geq -6[/latex] x∈ [latex][-6;2)[/latex]