Question

inequação do 1°grau m+1/3-4/5<2(m-1)+3/5

Answer 1

$m+\dfrac{1}{3}-\dfrac{4}{5}\ \textless \ 2\left(m-1\right)+\dfrac{3}{5}\ \Rightarrow\ m+\dfrac{1}{3}-\dfrac{4}{5}\ \textless \ 2m-2+\dfrac{3}{5}\Rightarrow\\ \\ \\ m-2m\ \textless \ -2+\dfrac{3}{5}+\dfrac{4}{5}-\dfrac{1}{3}\Rightarrow -m\ \textless \ -2+\dfrac{7}{5}-\dfrac{1}{3}\Rightarrow\\ \\ \\ -m\ \textless \ \dfrac{-30+21-5}{15}\Rightarrow -m\ \textless \ \dfrac{-14}{15}\ \Rightarrow m\ \textgreater \ \dfrac{14}{15}$