Question

qual o conjunto soluçao da inequaçao (2/3) 2x+1>1?

Answer 1

Tata,
Vamos passo a passo

           $( \frac{2}{3}) ^{2x+1} \ \textgreater \ 1 \\ \\ (2x+1)log( \frac{2}{3})\ \textgreater \ log1 \\ \\ (2x+1)(log2-log3)\ \textgreater \ 0 \\ \\ log2= 0,3010 \\ log3=0,4771 \\ \\ (2x+1)(0,3010-0,4771)\ \textgreater \ 0 \\ \\(2x+1)(-0, 1761 )\ \textgreater \ 0 \\ \\ -0,3522x-0,1771\ \textgreater \ 0$

           $-0,3522x\ \textgreater \ 0,1717 \\ \\0,3522x\ \textless \ -0,1771) \\ \\ x\ \textless \ \frac{-0,1771}{0,3522} \\ \\ x\ \textless \ -0,5028 \\ \\ n$