Решите пожалуйста log2(x+1) меньше -2

{x+1>0⇒x>-1 {x+1<1/4⇒x<-0,75 x∈(-1;-0,75)

[latex]log_2(x+1)\ \textless \ -2[/latex] ОДЗ: [latex]x+1\ \textgreater \ 0[/latex] [latex]x\ \textgreater \ -1[/latex] [latex]log_2(x+1)\ \textless \ log_2 \frac{1}{4} [/latex] [latex]x+1\ \textless \ \frac{1}{4} [/latex] [latex]x\ \textless \ -1+ \frac{1}{4} [/latex] [latex]x\ \textless \ - \frac{3}{4} [/latex]                  /////////////////////////////// ----------(-1)--------(-3/4)------------ ///////////////////////////// [latex]x[/latex] ∈ [latex](-1;- \frac{3}{4}) [/latex]