Question

Como resolver?

1-3x/2 - x > x-1/3 - 1

Answer 1

$1- \frac{3x}{2} -x\ \textgreater \ x- \frac{1}{3} -1 \\ \\ mmc(2,3)=6 \\ \\ 6-9x-6x\ \textgreater \ 6x-2-6 \\ \\ -15x-6x\ \textgreater \ -8-6 \\ \\ -21x\ \textless \ -14 ~~~\times(-1)~~troca~~todos~~os~~sinais \\ \\ 21x\ \textless \ 14 \\ \\ x\ \textless \ \frac{14}{21} ~~simplificando~~x\ \textless \ \frac{14:7}{21:7} \\ \\ x\ \textless \ \frac{2}{3} \\ \\ S=\{x\in R / x\ \textless \ \frac{2}{3} \}$